[Paul K]

This is a common story. Many women in power feel that guys are intimidated by their status- hence they don't get asked out much.
If you can deal with it, go for it. I'll give you the same advice I'd give anyone on a first date- let her talk, don't try to sell yourself, be funny, compliment her politely. Smile at her and make eye contact as you speak to her. If it all goes well, ask for a second date at the end of the first. DO NOT go away and think about it for a week, decide you like her then call. They hate that.

Good luck!