I know the OP has already replied to the FA, but there's a point I want to add anyway.
Something that we have to keep in mind in cases like this is that the world does not (yet) treat gay people equally. If you make a complaint about someone to his employer, and sexual orientation is involved in any way, you run the risk of the complaint landing on the desk of a homophobe who will come down much harder on a gay person than on a straight person. An offense that might get a straight person a slap on the wrist could well get a gay person fired. This is not fair, but it's the way the world is now, certainly in the United States.
If you think the offense is a firing offense anyway, as is arguable in this case, go ahead and make the complaint. Otherwise, think about the possible disproportionate consequences of the complaint before making it. I realize that I'm arguing for treating fellow gay people differently from straight people, and that troubles me, but I don't think you can just act as though the world were fair when you know it is not.