I think you pass. And I think the key here is that you have no dealings with the office who would be processing the forms, and you'd be able to interact with your new neighbors however you like. Is the housing being provided by the university / are you assigned it based on sex? That may be the only hang up, and if it is, I would personally make a phone call to an admissions counselor and see if they can give you any recommendations on how to proceed.