I wouldn't even really give her an option of being with you. But then I'm more for the "you get one shot with me and that's it" type person. But chances are if she's pulling this BS now she will be later too. If you give her a serious chance and sit down and talk with her she might be better for a little while but most likely down the road she would do the same thing. So while it's hard to give up on someone, there are much better people out there who are actually worth your time.