Did I make the wrong decision?

So me and this girl were talking and getting to know each other, becoming close for almost a month now. It was great. But recently, we've gotten into quite a few arguments. Basically all of them were started by her, for being too insecure mainly. I talked things out with her every time, and tried to improve on whatever upset her. Today, marked her final straw and she essentially wanted me out of her life. Even though she's the one who started it, and even got all of her friends involved. Like, shouldn't most of the things that happen between us stay between us? :/ I fought through a pretty good amount of arguments, and we aren't even dating. I just decided it more than likely isn't going to work, but I still wanted to stay friends. I didn't want to leave by any means, but she kept insisting I did because if I stayed, "It would have hurt her". Was leaving the wrong thing to do? I try not to have many negative people in my life, I mean I still care about her. But, there really wasn't much I could do. I tried to talk things out, but no prevail. Did I make the wrong decision by leaving? Am I a bad person? Because I feel kind of bad at the same time, too.