Everyone keeps encouraging them to run. They would have a good chance of winning, too. There’s one huge barrier. They are actually in the closet and oppo research would turn up their gay history in five minutes.
Oppo research = opposition research, which is the professional digging that candidates do on each other prior to an election.
So, that basically leaves three choices. Stay in the closet and don’t run. Stay in the closet and run. Come out of the closet and run.