The knight can't continuously check or attack the pieces - just watch out for knight forks and wait until he can't give check anymore, then take the initiative and drive his king back with queen checks until you can use a pin or a fork of some kind to win the knight.
Recommendation - if your king gets directly next to his knight (not diagonally - just left/right or above/below it) then it cannot give check to your king.
So... how exactly do you win when you have a queen and your opponent has a knight?
The knight's ability to attack the king or queen without being attacked back seems to make progress impossible...