It's not recommended to take them out of the incubator or touch them mid hatch by the way in case those photos gave you that idea. They shouldn't be touched till their feathers have dried. Pulling them out mid hatch can cause higher risk of "shrink wrapping" where they can't finish the job and can die.
I agree though that unless it's been settled on a nest for a while you are asking for trouble. If you only just got the hen today there is every chance the move itself could lead to her giving up being broody as well making it even less likely she will accept it.