What is the right thing to do in this situation?

I am a mature student and one of only about 5 on my entire course so everyone else is around 18 years old,this is for context.

So we were assigned a group project which is a 20 minute presentation including 5 minute Q and A. The whole unit is basically group work based, and while this isn't marked it is compulsory and if we don't engage then there is some kind of penalty on the Summative (graded work), which is 100% of the mark.

So the situation, I was placed in my group and we began to discuss where we'd stay in touch for the work. The 4 girls said they agreed on snapchat, I said I didn't have Snapchat and immediately I get funny looks. So after they talked amongst themselves for a bit they then suggested WhatsApp, I said that I wouldn't feel comfortable giving out my personal number, so I suggested teams (which we all have, the University uses it, you can't get far on this course without it). Again, funny looks and even laughing this time but they reluctantly agree. But then I get an off handed comment from one of the girls about how she's never going to be checking that (she either didn't think I heard her or didn't think I'd say anything), to which I said that if that's the case then she won't get very far on the course. Her facial expression told me that she did not like that, and she seemed embarrassed. I said that because at that point there was a horrible vibe and I felt cornered and like the 4 of them were trying to make me feel small or like... "old" or dumb for not wanting to use Snapchat or WhatsApp.

Another thing happened to solidify the awkwardness after that. I began asking their names to make the team group, so I asked the girl I had offended earlier for her name, I asked nicely because I was really trying to show them that I am not against them and just want to get on with the work. She gave me her nickname, and because you need a full name for teams I tried to make a lighthearted joke and said that I needed her government name and she did not like that at all, because she was just like "orite" and kinda scoffed at me, to which I blatantly just said there's no need for the attitude because I can't stand passive aggression due to my trauma. So at this point I am clearly the villain in the group.

Anyway to cut a long story short, those tense interactions caused the 4 of them to basically start being weird towards me. So when I was trying to ask questions about the work and get involved, they are basically ignoring and not engaging with me. So I picked up my stuff and I left the tutorial and I left them to it.

Since then I asked the lecturer if I could change group because staying in this group would not be good for my wellbeing (I have social anxiety and have been analysing this situation since it happened last week), I feel anxious about even seeing those girls again and what I'd do if I did see them and how they must be thinking negatively about me.

I know that for my anxiety's sake it's good if I suck it up and face it, but I cannot work with this group because we can't see eye to eye and there's a horrible vibe. It's just going to be tense and it's going to make my anxiety bad, which is why I said it's better for my wellbeing right now to leave it.

The lecturer refused to let me change group and is trying to encourage me to do the work with them. I have volunteered to do the work on my own as solo, which is awkward because the seminars for 5 weeks are group based work. Plus there is that penalty for not engaging, however I do have exemption based on disability so hopefully there will be some leniency.

So my question is, socially was this the right thing to do? To leave a toxic situation for my own wellbeing? I am not sure what was expected of me here. I have a lot of trauma regarding bullying in my Formative years and laying there while people walked over me like a doormat, so in my own mind I feel like I am doing the right thing for myself, but I'm not sure if it's the socially acceptable thing to do, because I have no social skills and am possibly autistic.

Many thanks