The legend of the minotaur, as people may know, goes that King Minos wouldn't sacrifice a prize white bull to Poseidon so Poseidon made the king's wife fall in love with the bull and she had a cow costume made and . . . Well, I suspect this is kinda where furries come from.
Anyway, the king's daughter Ariadne must've had access to the labyrinth where her half-brother/monster was kept, info she'd later use to help Theseus kill it. But, for the sake of a cool story idea and given the family's reproductive history, let's say that Ariadne was at one time quite fond of the minotaur. Fond enough that we have our half-minotaur here. Yeah, Greek mythology can get weird sometimes. The minotaur's son continues to live in the labyrinth and though there are no more tributes for him to attack and eat, there will always be the curious and nosy that go poking where they probably shouldn't and pay for it with their lives.