Asym sidecut means that the heel edge has a deeper sidecut than the toe edge. It is supposed to help with heelside turns because your pressure points (meaning your heels) are closer together than your toes because of the stance you have on your board. Some people say you can't really feel that but what matters is that it doesn't make your ride worse.
I own a Pick your Line and a Great Boobs of History and I love them both. As I said, for your small feet I believe YES is the best way to go. Super solid boards, playful and a forgiving camber profile. If I were you I'd try to get a Trouble or maybe a TDF if you want it a bit more aggressive (super narrow camber board). If you need more in-depth reviews, please check thegoodride.com or similar review sites.
Okay, I think I've got it know.
Do you think that the trouble/tdf would be a better choice than the greats/basic?
Reading the specs/info it seems to me that the latter would suit me better?Thoughts?