What's the best way to approach this situation?there's a girl in class, who doesn't like socializing with anyone.?

If you say hi to her, she will ignore you everytime. If you ask her for pens or pencils, she will ignore you. If you sit next to her or near her, she will pull unhappy faces, frown or screw her face up. Also If she's sitting with her support worker, she will not let anyone sit with them or near them, on the same table. If you're on the same table as her and doing work, she will ask you to move or to stop work. If you start conversations with others, she will complain to her support worker.

If you ask her, if she would like to go to the canteen, she will ignore you and pull miserable faces. Also if you ask her support worker and then she asks the girl, again she will either say nothing or say no

I've tried talking to her, she doesn't respond, everytime i sit near her, she either says nothing or pulls miserable faces. I've done the being nice thing, however she told me not to talk to her and not to look at her, ages ago. I don't understand why she doesn't like me, because I've never done anything to offend her. She's not even willing to be civil