Am in the wrong?

Yesterday for eid my little sister wanted to go golfing however it got late with guests so we couldn’t go. Then to make her happy, me her and my parents went to town to go shopping. Then she goes she wants to go cinemas I said no because I’m not in the mood for it and if it’s late then I tend to feel sleepy in the cinema. Then she goes ‘leave it then let’s go home’ and that makes my mum angry because we came so far and then at the end my mums in a mood we all go home then. Now it’s the next day my mums still angry so I message my sister who’s married and my mum was on call with her in the morning. I go why’s mum angry and not talking. She goes oh why didn’t you go cinemas and said you’re sleepy then went out later basicslly I went out later with my fiancé to have bubble tea when we came home cause I was thirsty and that’s way different to sitting in the cinemas. And now all the blame comes to me because I didn’t go cinemas but I went to have bubble tea. How is this fair at all? Every time I go do my own thing with my fiancé it’s always an issue. I literally went all the way to the shopping mall to shop around I didn’t mind but cinemas I didn’t want to go how is that actually fair

Your little sister wanted to go golfing but couldn't because you "got late with guests" (whatever that means).
Your sister wanted to go to the cinema but couldn't because you weren't "in the mood" and because you "tend to feel sleepy in the cinema".
You started your post with "Yesterday for eid my little sister wanted to...", but she didn't get to do anything she wanted to do. Do you not feel at all responsible for that?

She didn’t get to do what she wanted to do because my sister came over late, I was ready to go golfing with her. My eldest sister made us all late. I’m not going cinemas if I don’t want to go. I’m not the responsible one

Screw that older sister, she made your little sister not be able to go golfing, cancelled a shopping trip and made everyone go home because she didn't get exactly what she wanted then has the the gall to say it's your fault. She could've just continued the shopping trip instead of making everyone go home and there would be no problem

If she’s an adult I don’t really know why she didn’t go to the cinema by herself.
Families are weird.

My little sister is 16 she wanted to go cinema it wasn’t even planned and even my mum she didn’t mention oh that she wants to also go. My mums not just ignoring me and she’s angry at everyone then speaking sometimes. I’m scared to talk to my mum though like she hasn’t said anything but I don’t know how to talk to her or what to say if someone is angry

Now it’s the next day my mums still angry so I message my sister who’s married and my mum was on call with her in the morning.

Then I misread this bit. You spoke to your other sister about it?
At the end of the day, 16 year olds are emotional, daft creatures. They may get in a mard about all kinds of things.
As an adult, just forget about it rather than trying to work out who is in the wrong or whether it is 'fair'.

I know but now I get all the blame and my mums on a mood and angry it’s just made me angry

I know but now I get all the blame and my mums on a mood and angry it’s just made me angry

Let it go - why be angry with your mother - its not worth it. Draw a line under it and move on - there are far worse things happening in the world.

I’m not angry at her at all, I want to talk to her but she seems angry so I’m scared to talk to her

Its your mother - give her some space and then apologise - doesn't matter if you are in the right or not - this is a trivial argument - why waste time or energy on it?