Trying not to worry about my gf and me '25 M' '23 F' '4 months long' Some quick back

Some quick background on myself. I am m25 and I have been in 3 relationships, 2 prior to the current one, both ended via ghosting then an eventually split. I'll be honest I'm a bit needy when I comes to texting, I'm actively trying not to be this time to try an help. My current relationship is long distance and we see each other every 2 weeks ish
Now current issue. Me and my girlfriend are moving forward in the emotional side of our relationship quite a lot, we recently said I love you and I met her parents and we made plans for her to come down and meet mine. I've met her friends and we video call a decent amount. My big issue is that she struggles with intimacy and we are yet to move beyond kissing after a few months. I fully understand this as she's told me the reason but there's this nagging feeling in my brain all the time that she doesn't really like me and is using me as a placeholder as she has been intimate with other men in a much shorter amount of time. Then my brain goes back to she wouldn't say she loves me and let me meet her parents if she didn't really like me.
My big question is how can I focus on being stronger and stop being so needy in our relationship because I honestly believe that if our relationship fails, it's going to be to do with me worrying about IF it will fail?

'She has been intimate in a shorter amount of time'.
Your basically being charged full price for a burger that others in front of you got for free and to be honest unless she's never had a ONS then 4 months is a long time to wait.
You should ask what is holding her back and make it clear that you are not a virgin (presumably) and do expect sex in the relationship. If she can't trust you not to pump and dump after 4 months then you won't last anyway.

She's said that her last experience traumatised her so I do understand but I'm nothing like that person and wouldn't do anything to hurt her. I'm just worried that she might be leading me on a bit so she's emotionally fufilled without putting any real physical effort in which I've said I need in a long term relationship but I did say im wiling to wait as long as I know that it is actually coming.

There's a balance to be struck between being understanding and being subject to her dictating the terms of the relationship.
That is ultimately something that none of us can really advise you regarding because it depends on a multitude of factors and a willingness to be in/let somebody control those terms and that's a very individual choice.
With that said, you've basically said you'll give her commitment for free. That would be fine if you guys were religious and believed in chastity for a moral reason but your not.
There may come a time when you have to essentially push the issue metaphorically since she could be happy with what you have now for the next year.