It sounds as if you are having a hard time adjusting to this work environment.
The woman who is giving you a hard time probably does "own" the social turf of your place of employment and may be a bit jealous of her.
She can try all you want to provoke you, and if she succeeds then she wins. If you do not let yourself be provoked then YOU win.
Go about your business and never let her provoke you If she does she will keep doing it over and over. If you do not respond, not with words, and not with body language, then she will see that you are on to her game and she will quit.
Even if you do not like her, the best way to control her is to be nice to her no matter what. That means answering her politely with a smile, but not trying to be her buddy. Keep you distance and be friendly in a cool distant way.
As far as your boss is concerned, he may or may not call you to talk to you privately. Just listen to him. He sounds as if he is on your side and will be nice to you.
Don't worry about him. He's the boss. Give him the respect that he expects from you and listen to what he has to say. You don't have to be his best friend to work there - just be on good terms with him and everythone else.
If you want some expert opinion in book form, I highly recommend this one:
I wish you great success and I shall keep you in my prayers.
Elliott, MAE, LPCC, NCC, CCMHC