Cue & Queue

Cue is a rod or “stick” used to propel or to move a ball in the game of pool or billiards: “The billiard player sighted down his cue, determining the best angle at which to strike the ball.”

It also means a prompt or signal to do something: “Actors who perform without using any cues are the ones with real talent.”
Queue is a line of people or vehicles waiting their turns: “We stood in a queue at the bank, waiting for a teller to help us.”

We stood in a queue in front of the billiard parlor waiting for a cue that there was a cue available for each of us with a table so we could go in to play.