@ericawhite,
She sounds kinda psycho.
I'm sure she's wondering why the hell she has another woman's shoes. If nothing, that will tell her that something or other happened.
Either way, this is not a good situation for you to be getting yourself into. Are you both in a sorority house together, or just in the sorority? If you're not in shared housing, then you can probably avoid her a lot.
If you are, then you might want to consider changing your housing situation. I know that can be difficult, but presumably you are heading into winter break soon and it might be feasible. If you are in the same house and she is problematic, talk to whoever runs the house corporation and/or the house mother (I'm a Pi Phi but I know these terms sometimes differ in other sororities).
But either way, steer clear. Keep away during parties, during philanthropy time, etc. See if you can become involved in areas that she isn't in.
She should not be running your life, no, but she sounds weird at best and a big problem for you at worst.
Move up the chain and talk to someone in authority, e. g. the house mother, your dorm director, the president of your sorority, etc. if you feel threatened.
Stay safe. No guy is worth getting harmed over.