I don't know the name, but there is one of those generic RPGM "corruption" games where you're a priestess and you can sell a doll of yourself at the temple, but that's about it.
That's the only one that I recall with this feature.
Other things that I remember and that can help narrow down the game's name: somebody captures your monster friend and they use her as a sex slave until you complete the quest to free her.
You can distribute porn flyers advertising the church, you can have gangbangs with the churchgoers, and give blowjobs for piety. The rest is the same as in every other RPGM game: prostitution, stripping, groping, rape.