A laying worker is way in the future. Well after all brood has hatched.
Of greater concern is that the queenless hive will start queen cells. Usually when the new queen is introduced the bees pull down the cells if they are still unsealed and larvae small. But not always, sometime they go on to hatch and the virgin queen from them can kill the one you introduced.
Me, I de-queen and re-queen at the same time. A 24 hour queenless period can be OK, and some people go longer but of course there are risks.
The other issue making a split, is what happens if you do that and then the queen does not arrive on schedule?