Don't compare yourself to her exes, ever, even if you're just gloating about how great you are compared to them it will have the opposite affect of what you want. I'm with a girl who has been completely broken in the past and I managed to get her to fully trust me, but I do mean it when I tell her I would hurt myself before I ever hurt her. You have to treat her in such a way that she doesn't feel tied down to you or that you're trying to control her. She may not instantly tell you all of her feelings and this may be a learning experience for you, but eventually she will slowly open up to you the more she trusts you. Act like a man and not like her buddy. Everything you do you need to have a serious face, you have to have a genuine sense of protection in your voice that will let her know she is safe with you. You don't need to say things like "I'm really different please believe me I would never hurt you" because anyone can say that and they probably have. You need to keep a journal and write in it every day things that she tells you, whether it be her favorite foods, things she's allergic to, experiences she's had in the past, her family member's names and birthdays(if she tells you), and then you bring these things up down the road in a conversation if the conversation permits it and she will start to understand how strongly you feel for her and that you've really made an effort to remember things about her. The key here is that you need to be consistent. A broken woman will never trust you if you are inconsistent in your actions and words.. Don't ever lie to her from day 1, not even a white lie. Also you need to openly communicate with her and tell her if she ever feels weary about something you've said she can always come to you and not be afraid to talk about it. Don't ever be defensive with a girl who is broken, you need to show her that she is deserving of all the love in the world and help grow as a person. This is the only way she will fall in love with you and trust you entirely, it will take time and whatever you do PLEASE do not rush her to trust you tell her you understand that it will take time and you will always be there for her no matter how long it takes. The worst thing you can do is rush her to trust you it will never happen and she will be instantly turned off by this.