Intermediate and newcomer players - sharpen your game with this series of tutorials. You can browse the index by topic, or read them in order. Learn even more at ACBL's Learn page.
In your search for the Queen of trumps you could choose to finesse against West, or to finesse against East, or to “play for the drop” (hoping that the suit is 2-2 or the ♠Q is singleton). The general rule, when holding a 9-card fit, is to play for the drop, all things being equal that is about a 58% chance.
So, the question is “Do you play for the drop?”