Traits:
A teacher who believes in teaching all children where they are, not just getting everyone up to the standards. This was what our K teacher said, and I nearly hugged her!
I don't know how you figure out that this is her philosophy (or not), but that would be the thing I'd want to know.
I'd also want to know her stance on differentiation, though again, I don't know a good way to find that out. Teachers who embrace differentiation also tend to embrace GTness and all that goes along with it. Teachers who don't...well, it's probably going to be a long, hard year.
I'd have other things to add if you had a boy, but I don't think that most girls have the same issues with "squirminess," as ebeth rightly calls it. (Though if you have a squirmy girl, she'll probably have a worse time of it, given that teachers REALLY expect girls to sit still and shut up.)
Oh, I might want to know how she handles discipline problems. DS7's 1st grade teacher took away recesses right and left from the bored GT kids on her class, then she started bribing them with sugary junk food. Neither approach worked well, and if I'd known ahead of time, it might have told me what we were in for that year. And asking about disciplinary strategies IS something you might be able to ask about without labeling yourself one of "those" parents.
Dunno if that helps at all...
