As soon as she is laying get that little queen excluder over the door, or they’ll be off into the trees!
But before you put her into a nuc, wait till you’re sure the laying pattern is good. It can be a bit hit and miss till she gets the hang of it but once she’s going right it’s unmistakable.
If you want to use the apidea again, it’s best to let her lay up the three frames then there are new bees to take the place of the original ones.
Once she’s laying well – she’ll smell right and the bees in the nuc should accept her with ease.