Should I keep this friend?

I have this "friend" that isn't all that great. I am her friend because we have known each other for a while and she claims we are more like sisters. We have the same belief system and go to the same church and should be really close but I don't think we are. She just annoys me so much and even admits to purposely doing things to tick me off. She criticizes me and expects my world to revolve around her. For example, today she got really mad at me for no reason and wouldn't even discuss it maturely. I got my hair done yesterday (blonde highlights, layers, and it has been straightened) and today at lunch she has the nerve to say that I have changed (but implied as a bad way) and got mad at me because when she asked if I would go to church with her today but I refused because I already have plans and it was short notice. I asked her what was wrong and she said she was mad and I should know why. She was being really immature and b*tchy, if I say so myself. I went to her quince and she told me I had too much makeup when all I was wearing was eyeliner and colored lip gloss and I didn't even ask for her opinion. She also never lets me finish my sentences and does and says things she knows will tick me off and justifies it by saying she likes seeing me "trip". Whenever I try talking about my problems to vent she always cuts me off and avoids it. She is supposed to be my friend and help me out, right? Am I wrong for disliking her? I want to be her friend and care about her but she makes it soo hard. What should I do? Is her behaviour just friendly banter or is she being a real b*tch? Should I dump her or try to work it out?