How would you deal with this relationship mismatch? (See details.)

I’ve been seeing a woman for about 5 weeks who seems to have fallen hard for me, but I want to take it slow and just have fun for a while before deciding whether to get serious. How should I negotiate this?

The situation is complicated because this woman is an abuse survivor with a lot of baggage. She had a horrific childhood and married young. Her husband was abusive, but the marriage was still a step up from what she grew up with. After she divorced him, every man she has been seriously involved with has stolen from her or cheated on her. I’m just an ordinary guy, but I must seem like a prince compared to what she’s had to deal with in the past. I think this has distorted her view of me.

She has three well-behaved children, but the rest of her family are scumbags and her ex, who she still has to deal with because of the kids, is an asshole who still tries to mess with her. I’m amazed that she is not a complete basket case. I have tremendous admiration for her. I enjoy her company and I hope we can be friends (really!) if things don’t work out romantically between us. I like her a lot, but I’m not passionate about her, while she seems to have lost her head over me. I’m also worried about what I might be getting into if I ever do get serious with her.