No, I don't mean don't make an active effort - I mean don't stress over it. If you're interested in a girl, and you think she might be interested in you, by all means, ask her out.
And this is for both you and LR - there's a very easy way to tell whether or not you should try:
Look her straight in the eyes (look NOWHERE ELSE, I know the temptation is strong) and smile. If she smiles back, you've got a shot. If she doesn't, move on.