Ok lets break it down and evaluate;
Hornyness: There was no description of the room, which probably means no environmental dangers and no explicit description of mobs or adds, only the beast man butler that seems to be more conscious than the other servants. That means he's not only strong, he's going to be able to think and strategize. On the plus side, it's one enemy which means gang up tactics are possible. There's also the possibility that the crystal may up the [Horny] debuff with more direct exposure. I think that goes for all crystals honestly. Anti, feel free to confirm or deny any of this. Avoiding this will make us more susceptible to pleasure based attacks, spells and the like, methinks.
Obedience: Dresser room, the potential for crowd control through furniture and clothing, the enemy is a mimic and it actually has explicit mobs in the form of the animated instruments, so we'd be potentially outmanned, plus the mimic either being a monster or an enchanted piece of furniture means we don't have an idea of degree of intelligence. The advantage in that room is that the crystal is in plain sight, so we just need one lucky shot to snipe it.
Docility: Animated plants in a greenhouse, as with the dresser they have home-field advantage, one is a tentacle plant that's likely gonna be able to deal with multiple attackers. Then the Pitcher plant that just seems like a trap, likely had hidden vines, pheromones or some other way to draw you in. The servants avoid which means they are instinctual, and will only react which means we have the first strike at the very least. My first idea would be that since they're stationary they could be largely taken out ranged wise, but we don't know the tentacle vine's reach. Honestly, we could probably find a way to evacuate the greenhouse and set fire to the whole damn thing, but I don't know how feasible that would be. Regardless this is the room with the most amount of missing info we have, which means its potentially the most dangerous. Both this and Obedience bend our wills and I think leaves us more open to mental attacks and mind control, and they stack we'd have one of the two.
I think, if we're trying to 'win' this, that the Horny room is the easiest one. We should go for one of the mental ones, I'd say Obedience as well, and if we're not too beat up after go to Hornyness. If the BURN plan is not viable I'd almost say to avoid the Greenhouse... but then again I have no idea what the hell the final boss will be.
I'm really enjoying this btw!