What restaurant is this? I know of a chain in Colorado that has gluten free crusts made separately in a gluten free bakery, and they are cooked away from the regular kind. I have never been there, though, and so I don't know if they toss their regular crusts.
It may depend on whether or not your daughter has a skin sensitivity or not. I don't have DH, so I have no problems unless I actually eat the gluten. I'm pretty brain foggy tonight, so I hope someone with a clear head and scientific expertise can give you a more detailed answer.
fanfaire