There's this one depressed girl I met and I want to help her out by befriending her and possibly becoming her boyfriend, but she is depressed and is pushing me away. I think she's afraid of getting hurt and possibly hates herself..

I know what it's like since I've been like that most of my life, but I still don't know how to gain her trust. I'm confident in my looks/personality, but I just don't know what to do.

Oh, and this is all online. We've never met in real life.
Any ideas/thoughts?