What is the right course of action?

You answered correctly! When making a right turn at an intersection and there is a cyclist going straight, you must always let the cyclist go first, even if you have a green light or there is no specific yield sign for them. This rule is to protect vulnerable road users like cyclists. Turning vehicles have to yield to cyclists and pedestrians that are traveling straight on the road you are turning into. This helps avoid accidents and ensures the safety of cyclists. In this situation, you must wait until the cyclist has passed before you turn right.