If you like her, than give it a go
I would really not worry about what other people think and from your OP it seems you don't want to
It takes a while to learn to read people and I think you are rather young and just now experiencing the world, the woman sounds like trouble but so do you, if she bothered to talk to you at all she probably sees something in you she likes, either that or she wants to kill you on the low, just kidding with the latter
But to sum it all up this woman sounds like she sounds textbook borderline or has a supuriority complex so that being said, you say you are a more along the lnes of borderline, well you definitely would probably have alot in common with this woman, you might as well pursue some sort of friendship with her which I am sure will eventually turn intimate whether on not you have sex, you two will probably end up close friends, so fuck what everybody else thinks but maybe do not rub it in their faces
You both clearly have something along the lines of borderline, narcissism, socio/psychopah: I am not insulting you here and you sound familiar with psychology so read up on superiority complex, narcissism, and borderline disorder, I do believe you are slightly misdiagnosed and well, I wouldn't bother taking a psych diganosis that seriously and it is nothing to be ashamed of but it is not exactly something society is going to understand
Anyways, you clearly are attracted to this woman for a reason so spend some time with her and see what happens, I have a feeling you two will hit it off, regardless of how things go down you probably should at least be friends because I think she is someone you will enjoy talking to and spending time with and well that should lead to a bit of comfort and satisfaction in your life
It seems like you both have been through alot, I would not be surprised if you find her kinda hot and cold at times, but yeah, that is something you are going to have to figure out on your own
But whatever you are feeling towards her, just go for it and be yourself