Thæon, cautious of Anther’s uncertainty, stayed with him while Perrin and Dornan went to calm the townsfolk. He remained settled behind Anther’s horns, in part to offer comfort, but more than likely because he couldn’t dismount; Anther refusing to lower his neck enough to give Thæon the chance of dropping to the floor.
He could, if he really wanted to, but then he’d be left with the puzzle of how to soften his fall, and while the meadow grass was soft, Anther held him as high as the rooves of the cottages, meaning it was a fairly decent drop, and if Thæon wasn’t careful he could hurt himself.