im to scared to ask this girl out

I met her at uni, and she usually sits alone but she is someone who is fun to talk to. She has become good friends with my friendships group.

Ive started to like her now, but I am afraid to ask her out becasue
1. if she says no, I will loose a fun person at uni
2. may ruin the group dynamics

What do you mean lose a fun person? Do you just want her for the fun or do you actually want to start dating her? You're lying to yourself when you say you are worried about losing her as a friend, since we all know (including yourself) that you are not after a friendship.

I personally don't see it ruining the group dynamics tbh, it never happened with people I know when it didn't work out. It's only awkward if you make it awkward and if she makes it awkward then that's her problem.

Worst she can say is no. Go for it.

Yes I am not after her friendship, but honestly part of me would regret it if she deosnt talk to me after.

Agreed, should I just tell her ' Do you want to go out for dinner this week'?