Have you restored the gloryhole? (Sleeping at night at the farmhouse, talking to Blake, Dulrig, Lenny and Roland, wait some days and revisit the gloryhole during the sleeping at night option) If you have already done it, maybe you need to be submissive.
Yeah, I just checked and role/position doesn't matter.
Edit: It seems that while role and position have no effect in triggering the encounter nor the game over scene, the aforementioned requirements are needed to encounter the corrupted minotaur, but for the game over scene you need something more: currently the most probable requirement missing is mouth experience, since if you're expert is unlocked, while if you're skilled is not.