Chivalry question, what would you do?

[wacki]

I was at a bar last night and some random girl came up to me and asked me if she could borrow my coat. She wanted to go outside and smoke a cigarette. I am wearing a IZOD fleece so it's nice but not North Face/Marmot nice. If she bolted it would piss me off but it wouldn't be a big loss. I know people are going to ask so I will tell you she was decent looking but I had no intention of hitting on her. So that wasn't a factor for me. She was sloppy drunk, so she wouldn't of been able to run fast. If I let her borrow my coat I could hang out by the door and watch her through the glass, which would be a total pain in the rear.

My question is, would you let her borrow your coat?