I would do as OT suggested and put the new queen in a small nuc. Three days is not enough to be sure the bees will or will not make a queen cell. If a frame had fresh eggs, it could be as much as four days before they even start an E cell, which you will not notice for another two to three days. I give my nucs eggs on Sundays. I check for cells on Wed. Often I will not find any, but the following Sunday, four days later, there will be several, some already capped.
