How to be with someone who...?

...is damaged from previous relationships? I met someone who hasn't been treated well in the past. She is just attracted to the wrong kind of person at this point. I'm not the pothead/sex-crazed type she normally goes for. Now that we've met, though, she told me she could fall in love with me, but doesn't know how to be with someone real (like me). I think we'd be amazing together, but she's really scared. I need really thoughtful advice on how to help her relax into me. I really love her very much and I want her to trust me not to hurt her. How can I get her to trust me enough to let herself fall in love with me...? And to be with me for real (\our relationship has barely scratched the surface)?