The Q is the most difficult letter to play. 2 tips for dealing with it are:

The word QI (Chinese life force) will come in useful in many games. Other unusual useful words include QAT (a tea-like drug) and QADI (Muslim magistrate). If you cannot play the Q consider changing it, particularly at the end of the game when opportunities tend to be more restricted.

When they draw a U some players put it aside in case they then draw the Q at a later stage. This is a bad idea. Firstly you only have a 50-50 chance of drawing the Q anyway, secondly if you're trying to score with 6 letters rather than 7 you are greatly lessening your chances of getting good scores each move.