We can’t stress enough that hive inspections should be about looking for evidence of a queen, not about finding the queen. Look for eggs, larvae, and brood. What do you do if you find a supersedure cell? These are typically on the frame in the main brood area. As a general rule we leave them to let the colony raise a new queen. They may see something in the queen that we don’t, they may just not like her, for whatever reason they are going to replace her, let them. We just know that in about 3 weeks we’ll want to make sure the new queen made it back from mating (again just looking for eggs, larvae, and brood) and that things are ok. Colonies probably replace queens more often than people realize, and most of the time they just take care of things on their own just fine.