MelancholyBunny wrote:
I see no reason why you shouldn't ask her out, and who says she's out of your league.
If she talks to you and smiles at you, then it is a good sign that she at leats likes you even little, so go for it. You don't have to even ask her out on a date if you want, you could ask her to lunch or something, start small, that way you'd get a better handle on her.
If you're worried about asking her out, as you've never asked a girl out, then don't be, most girls, as long as you aren't a creep, are flattered when someone ask them out, even if they decline, so i wouldn't worry about it.
Thanks for the positive advice, MelancholyBunny, and everyone else. You're right - I shouldn't assume that someone is untenable just because they have a Cambridge Degree, even though it is the best university in the world.
I think I will refrain from asking her out. I will however ask her what she likes doing at the weekend, and whether I could offer to meet her for lunch one time. I may also try to find out indirectly from a colleague whether she already has a boyfriend.