I think to answer this, it's worth considering why height is an important attribute to possess for men. I think the general consensus is that height on a man is attractive to women because it's seen to offer protection: it's a sexually dimorphic feature that -- something seen as distinctly manly.
Conversely, I like smaller women for the same reason -- because it makes me feel more manly and able to protect. I'd always gravitate to average height or smaller. In fact, I'm really into the cute look; when I think about it, nearly all the girls I've ever liked have been 5'3 and under. I just find smaller women attractive I guess, as it emphasizes the prospect of being a protector.
I'd hazard a guess that most men feel the same. It's certainly not something I would be worried about as a woman at all. In fact, I have tall female friends who despise being tall for the reasons I've explained.
So for dating, I'd say it wasn't important at all for a girl to be tall.