TY,
The important question is are the bees ready to accept her? How long were the bees queenless? What type of bees are they? How do they react to her.
Open the hive tomorrow and use a skewer stick or a tooth pick and slide it across the cage. If you can easily slide it and the bees get out of the way, remove the cork and let her out. As soon as the cork is out place it hole side down between 2 frames so that she will crawl right into the hive. You could put the cage back in the hive but you would have to open it up again to remove the cage and I prefer not to bother her and to give a couple of weeks to get established.
Jim