I am having a crush recently on this girl in my class, although I have made my first move to know her but I did it badly, because I am a seriously socially awkward guy (especially to the girl that I like) I shaked and stuttered when I was talking to her, she used to sit alone in class, but she is now trying to avoid me to prevent any chances that I can take to talk to her alone by sitting with another guy friend. Before that I took every opportunity I can have to sit near to her because of one post that I have read on an internet platform saying that girls are comfortable around with people that has more exposure towards them (another reason is that I always wanted to talk to her but I was too afraid to do that and chicken out everytime), I must admit that I misunderstood that post and make this seem unnatural and overdoing it, I think she notice that and she might be thinking that I am a creep (I am kind of obsess with her, sometimes I looked at her quite frequently not sure whether she notice that, I think she do). I have asked her was it me that making her uncomfortable because there were times I sit near to her and she moved her seat (perhaps I invaded her personal space), it hurts me a lot when I think about it, I also apologized that if I have made her uncomfortable, she gave me a polite answer by saying that she is not focusing therefore she do not need to sit at the front row, but I knew that she was lying because there was a time we both sit at the back and she suddenly moved to the front. Now I realized that I have screwed up, I am not even close to become a friend of her now, although I feel relieved that I have finally made the first move to talk to a girl which I like, but I can't get over the mistakes that I have made. Right now I only go to class pretending that nothing had happened and try not to notice her that much to try to rebut her thoughts about me that I am a creep. I am thinking maybe I presented myself with no confidence (to make this worse I was born with this so called "resting bitch face" which usually makes people think I am a difficult person that no one wants to talk to) at all but full of anxiety, can anyone give me advice? Is it because I am ugly, or there is a problem in my way of approaching? Am I being too needy or something?

EDIT: I spent a night thinking whether I was overthinking things and stuff about this last situation that I am in, I am not sure whether things had already gone that bad or is it just me that over-interpret things (but everything seems wrong to me), but there was a time I noticed her and her guy friend looked at me with a weird face, I thought she might already told her friend of my behaviour and stuff, which makes me look like I do not have chance anymore to fix this as what I have done in the pass had spoiled my first impression to her, but these few weeks I did stay away from her as much as I can, I am hoping and see if I can find another appropriate time to do a re-approach, in a less awkward manner (or at least make a better apologize). I dwelled on this for quite some time and I feel like this is very damaging to me (there was one afternoon I took a nap and I dreamed of her being my girlfriend only find out this was a dream when I woke up and feel like I am dying), I cannot get over all the thoughts in my head.

Is it advisable that I re-approach this girl?

Sorry for my bad English, it is not my first language.