We haven't stayed at Sports yet (January!) but from the other food courts we've had, I think you could find a gluten and dairy free option. While I don't do gluten free, it seems like Disney has been promoting their willingness to help guests with such a restriction. Checking out the
menu options (as of 12/13) you could possibly do a build-your-own-taco salad (minus tortilla, cheese and sour cream). That's about the best thing I'm seeing there,
but they may have more options that just haven't been updated on that site. If it is that limited, ASMovies and ASMusic are nearby and may have some other options -- when we stayed as ASMovies a couple years ago, they had sliced turkey and build-your-own salads with grilled chicken that was pretty good. Or you may hop a little further to other resorts it you see other options that suit and have the time to do so.