Also, I would suggest getting a card. I have one from the Gluten Intolerance Group that lists the foods that are not okay, and it always settles any issues with the chef. It's really, really rude to bring food with you, and I'm sure if you talk with the manager/chef ahead of time, they'll be able to come up with something.
Whenever you go out to eat, even if there is a gluten-free menu or gluten-free options, there is always a chance of cross-contamination, just because there's no way to ensure that the area and tools that they used to prepare your meal are entirely free of any and all gluten. If they take the proper precautions, your meal will be gluten-free, and any contamination will be minimal. If you don't make a habit of eating glutenous foods, you shouldn't encounter health problems with a small amount of gluten from cross contamination