I have never had trouble moving a hen once they have a couple hatched, if she is in a box which can be moved to a new site without moving her from the nest you shouldn't have any trouble, I do cover the opening with a towel though when I do it, and remove the towel after the nest box is settled in it's new spot.
Just make sure the move is planned... are there any doors you have to open or other obstacles? If there are, then you should have a second person help so that once you pick up her box you carry it straight to the new location with minimal jostling.