It seems like this game can end in a stalemate if the Master of Hounds sits adjacent to (or on top of) more than 6 unturned tiles that happen to include one or more Time Tile. In this scenario, until the Master of Hounds moves, it's impossible for the Fox to win since they can't get to 43 tiles or all 3 time tiles.
The fox wins when there are six or fewer safe, face-down tiles remaining. "Safe" excludes both occupied tiles and tiles under the Master of Hounds' area of effect. That means that the Hunting Party needs to keep moving or they will lose.