If it were me, I'd be ordering a queen and getting her in there now. If your hive is queenright, yes...you'll likely lose your store bought queen but at least you'll have one that's up and running already. If you put a frame in and they DON'T build queen cells, you're probably OK but you're playing with time. If they DO build queen cells, you can wait and hope for the best or you can order a queen. Again, you're playing beat the clock.
"My wife always wanted girls. Just not thousands and thousands of them......"