I cheated on my long-distance gf

Advice on how to move forward is break up with her. You don’t want people to say what you did wrong which I won’t but you don’t need to be with her if you feel like kissing others. It sounds more like lust than love. When you love someone you wouldn’t do that, yes you care for her but not enough to stay loyal. The fact you said it feels awkward when you see each other is quite weird too. I think you are a good guy and don’t want to break her heart by breaking up with her but staying longer than needed will make it worse. It’s difficult having a long distance relationship no matter your age or occupation.
In terms of sex, women (and maybe some men but I’m talking from a women’s prospective), we find it hard to be intimate with our partners if we aren’t close or doing the small steps in between to feel loved and wanted. When me and my partner go a week within being close or hugging/kissing, even spending time chatting and doing things together, the last thing I want to do is have sex. But my partner doesn’t mind, he will want to do it anyway lol

I am leaning in the breaking up side. It’s breaking my heart because it feels like for the first time in ages that things have been good. Like i actually enjoy talking about whatever. I agree i can’t expect to have sex straight away after not seeing my partner for 2-3 months at a time but it’s tough when i feel rejected all the time. It’s not that i just want to use her. It’s how i feel connected.
I don’t want to kiss any other people. It happened and that was it. I feel a ridiculous amount of guilt and as i’m typing this i feel sick. I want to stay with her but at the same time i don’t know if it’s healthy. It’s eating me up like crazy.
I think the part where i’m struggling the most is that things have been going decent. I want to see where it goes and if we can come back from the previous crap, but at the same time i don’t know it i’d be able to carry the guilt. Sorry, i just have so many thoughts in my head.

I am leaning in the breaking up side. It’s breaking my heart because it feels like for the first time in ages that things have been good. Like i actually enjoy talking about whatever. I agree i can’t expect to have sex straight away after not seeing my partner for 2-3 months at a time but it’s tough when i feel rejected all the time. It’s not that i just want to use her. It’s how i feel connected.
I don’t want to kiss any other people. It happened and that was it. I feel a ridiculous amount of guilt and as i’m typing this i feel sick. I want to stay with her but at the same time i don’t know if it’s healthy. It’s eating me up like crazy.
I think the part where i’m struggling the most is that things have been going decent. I want to see where it goes and if we can come back from the previous crap, but at the same time i don’t know it i’d be able to carry the guilt. Sorry, i just have so many thoughts in my head.

That’s ok, don’t apologise! Sh*t happens sometimes when we least expect it. Doing what you did doesn’t make you a bad person. Don’t beat yourself up. The fact you feel sick sounds like you really do have a lot of love for her. Why not give it another go, see what happens and where it goes and then at least you can say you gave it your best shot?
Sometimes we feel sick even if we know it’s the right thing to do. As an empath we don’t want to hurt anyone’s feelings. You need to decide whether you feel the way you do because you really want to make it work or is it because you don’t want to hurt her feelings or leave her broken hearted? If it’s the latter, it will feel harder the longer you leave it. But like I say, there is nothing wrong with trying again and giving it one last go. You deserve to feel loved too and wanted.

You shouldn't feel guilty at all. Not even one little bit.
When your Antarctic (or whatever continent she's on) girlfriend froze you out of the bedroom, repeatedly, she lost the right to keep you as an exclusive boyfriend.
It would be unethical for you to travel to her continent and have sex with her without you letting her know that you've been evaluating other women, to the extent of kissing them. But you haven't done that.
It's fine if you have a kind of delayed final goodbye that you do before seeing her again, or if you let her know that the 2 of you are no longer exclusive.
The amount of arguing you've been doing justifies you breaking up with her.
Her taking your cooking and cleaning for granted and complaining about it would justify you breaking up with her.
Her not wanting to have sex with you would justify you breaking up with her.
There's plenty of women out there with whom you will argue less, will appreciate and respect you more and will want sex with you at least as much as you want sex with her.
The better you get at being a boyfriend, the higher the proportion of women that will fit into this category. Bear in mind that some of the ways in which you would be a better boyfriend will be "counter-intuitive".
So that there's no reason at all for you to stay with someone that's as cold as liquid nitrogen in the bedroom and as hot headed as an Indonesian volcano in the living room.

In terms of sex, women (and maybe some men but I’m talking from a women’s prospective), we find it hard to be intimate with our partners if we aren’t close or doing the small steps in between to feel loved and wanted. When me and my partner go a week within being close or hugging/kissing, even spending time chatting and doing things together, the last thing I want to do is have sex. But my partner doesn’t mind, he will want to do it anyway lol

I'm not sure how you do anything other than break up here. Your entire first post is written as an excuse as to why you cheated and why, ultimately, you should break up. The notion that your girlfriend lost the right to keep you as an exclusive boyfriend when she froze you out of the bedroom is awful and borderline misogynistic advice that you should absolutely not be paying attention to. But the reality is that neither of you are happy in this relationship. It just isn't working, and it needs to come to an end. That much is blindingly obvious to me at least. To that extent it is understandable that you feel guilty for cheating, but to my mind the cheating is one of many indications that this relationship has failed, rather than demonstrating some sort of flaw in your character. It's not a pleasant thing to face up to, but that really is the direction that everything is pointed towards.
For future relationships, this is excellent advice and something well worth paying attention to. Everyone is wired slightly differently when it comes to sex and sexual desire, but most men are wired differently to most women. Paloma Faith wrote in her book that came out last year that, for most women, foreplay is what you do in the hours and days before sex, not in the ten minutes before when you've already decided to have sex. That is spot on, and is exactly what Jasmine is saying here. It is most certainly advice to take on board. Immeasurably better than thinking that you have a right to cheat as soon as your partner doesn't give you sex for a bit.

I think from my perspective it's just a bid for connection and it's upsetting when i feel as though I'm not desirable in that way. It kills my confidence, and then the more often that happens my initiation gets worse and worse the more i feel like I'm going to get rejected. I hate to say it but sometimes I feel like it's a sane reaction to an insane situation if you understand what I mean. Eventually after multiple rejections from someone who loves you it becomes near unbearable.