How can I not be weird about asking this girl out, if possible?

Long story short:

My mom and I got rear-ended a short while ago.

The girl who rear-ended us was really, really, really, beautiful.

Granted, it was a bad time to get personal.

I couldn’t get her out of my head. We recieved the police report the other day, so her information is on there.

She doesn’t have a Facebook (otherwise I wouldn’t be asking on here).

How weird would it be if I wrote a letter to her asking if she was okay and that we’re all fine, crap happens, and if she would like to go have a drink or something?

Granted, she might have been thinking this entire time that we absolutely hate her. But gosh, I really can’t resist thinking about her.

Should I just let this go? Should I wait until I at least get my car fixed? But what if too much time passes and she definitely thinks that would be weird? I don’t know. I also feel a bit like a jerk-off. Am I? This doesn’t mean that if the person who hit us were a hunchback I’d immediately see them as evil or stupid. Crap happens. But she just happened to be someone I was extremely attracted to.