You can get into WHY it might have been that JC didn't mention homosexuality.
Accordng to our only evidence, the Buy-bull: he was an unmarried Jewish male in his 30s, at a time when that would have been very unusual in his community. He hung around almost exclusively with men.
That's not the only eyebrow-raiser about JC, if we look at him the way we would anybody else, and not thru the Krazy Khristian Kaleidoscope.
He didn't seem to like his mother very much and often treated her with contempt. In general JC seemed to have issues with women. Let's not forget that charming story about him healing a Gentile woman while comparing her to a dog. Yes, there was that whole saved-a-woman-from-stoning thing. But using the all-important IN CONTEXT reasoning, he seems to have done that mostly to piss off his religio-political enemies.
Jesus also seems to have been one of the originial Welfare Queens. Apparently he gave up a good, solid career in carpentry to wander around Judea with his doting all-male entourage, shooting off his mouth about a lot of metaphysical hokum.
That also goes for his disciples, who gave up their own good jobs. And often come across in the NT as a bunch of lazy, violent and fairly dim-witted sods.
How did these people live? JC himself seems to have mooched off the meager earnings of Mary Magdalene. We know of that one case where he rather loftily dissed poor people, and suggested that some expensive oil be used on himself, rather than being sold to help the poor.
As we cranky non-believers often point out, he's a real One-Size-Fits-All Messiah. You can use his alleged sayings to justify anything from communism to all-out free-market capitalism, from gay rights to gay bashing. Amazing.