Congrats on your first installation and inspection. I'm also in my first year, so hopefully others with more experience will chime in (I'm sure they will), however in the meantime, from my understanding, it will likely take her a few days once out of the cage to familiarize herself with the hive and fellow bees before she begins laying. Think of it like walking through your newly purchased home before you decide on how to arrange your belongings within it. Lots of new comb and pollen coming in from foragers is a good sign that they are taking to the hive well. Assuming that the successfully mated before she was sent to you, then she should begin laying anytime. Otherwise, if she didn't successfully mate, she may go on a mating flight anytime now and then begin laying in a week or so. I would give her a few more days, perhaps a week and then check again.