It sounds like this person has a lot of issues with insecurities being one of them. This does not sound healthy for anyone involved. If you have talked to this person and nothing has changed I would say it's time to move on.
What you do about someone who's insecure, pushes you away, scares you away. They find things to knit pick about you but yet they want a relationship with you. What do you do? Do you call it quits for good since things don't seem to going right?
Here's what you do. You talk it out with them and see where they aer at with you and I am pretty sure she didn't push you away and she wasn't knit picking at you. Maybe you should just ask her what she want and tell her what you want from her. Be honest with her will help it alot.
DWW that person sounds extremely insecure. I've been in that type of relationship, and I'll never do it again. I got tired of insinuations, and being told things I did were not good enough. My advice, think really hard about staying in a relationship like that. Good luck! :)