Should I dump my girlfriend after she told me all about her troubled past *sorry it's kinda long*?

I started a new job earlier this year and met this girl there. We started out as friends, went on a date and have now been in a relationship for just over 4 months. But after everything she has told me about her past, I'm not so sure I want to be. She grew up with her grandparents who she nursed during their dying days when she was 15. I thought that was sweet. But then she told me she suffered a 2 year struggle with anorexia and bulimia, she started taking drugs and became a prostitute to fund the habit while cutting herself and regularly attempting to commit suicide. She said her last boyfriend beat her and set fire to the apartment with her inside. She managed to escape, ran away and now lives in hiding. I don't know if I want to be with someone with all these problems. Should I break up with her?