In the original Rome: Total War game, leaders can acquire the vice of sodomy, represented by a character "trait".
There's a random chance for any character to receive it when he comes of age, but it can also be developed through idleness or debauchery (hanging out in taverns and the like).
It reduces the general's Influence, meaning he has fewer followers and is less able to mantain public order.
This trait (evocatively called "Arse" in the game files) has the following levels (spoilered for space and decency):
► Show Spoiler
1 - Minion
This man is developing an unsavoury reputation as a servile cur, as he has been willing to submit to the amorous advances of other men.
Influence -1
2 - Catamite
This man's desires have turned along dark paths, much to the unease of his underlings.
Influence -2
3 - Aggressively Perverse
Consent is no longer something that this man considers when slaking his lusts for other men.
Influence -3
4 - Grotesquely Perverse
Even the most abject slave goes in terror of this man, as his rampant lusts are never far from his debauched mind.
Influence -4, receives the "Perverse" epithet.
As far as I know this trait has been removed from the Remastered edition of the game, but I really cannot imagine why.