The original queen doesn't have to be in there. If you removed her or she was accidentally killed and emergency cells were started, they could be queen right. If you wait over 48 hours after a queen is removed or accidentally killed, and there are eggs or larvae at the proper age, the bees will start queen cells. Once these cells are started, the hive will soon become queen right. Been there and done that. Queens need to be introduced in 24 hours or less in my opinion for a queen to best be accepted. Others may chime in, but I think I am right.
Mark