Serbia, Studenica Monastery, guesthouse
In a very new and shiny building out the back of the monastery, it's supposed to be for pilgrims but anyone seeking to enhance their spiritual life is also welcome so guessing most people here count, and no they don't test you to check!
Looks swish and expensive, actually 11 euro for an en-suite and 5.5 euro otherwise. Didn't apply to me so I don't know how rigorous they are with it, but according to the "rules" in the room, women can only stay for 1 night, and non-married couples can't share a room.
Food there also good.