Unhealthy Relationship?

So, I've been dating this girl for the past month almost two. We kind of hit it off suddenly and quickly started dating, felt like we'd known each other for quite a while. I quickly fell for her, ended up getting her a little ring (not a real diamond one, just a crystal thing)and collar just so people would know she's mine. As well as I being hers, I don't plan on that changing - ever.

So, she's gone through - quite a bit in her life. As well as still going through some of it, which sucks immensely since I'm not able to do anything about it. She tries to stay tough and tries to keep up a facade so she won't hurt people, which in the end causes more pain than usual. She's really insecure about a lot: her appearance, she think she's fat, she thinks she's mean (she is one of the sweetest people I know), etc. Just a lot of stuff about her past causing her pain in the present. She went through foster care, her mother killing a friend, abusive families, men taking what they want from her and a whole fuck ton more.

Then there's me. I try not to really talk about my feelings, but I end up opening up to her. I am really quick to anger as well as don't like arguing, so I end up getting angered over me getting angered. I also watched my mom attempt to OD when I was about 7 (yeah, I remember it pretty well after going through some counseling and getting the repressed memory back) which I kind of flash backed to when my girlfriend attempts to Overdose one night. I grew up with arguing parents, abusive dad, the normal 9 yards for an edgy teen.

Question: Is this relationship unhealthy and should I end it.