It is very hard to get the queen to leave the current brood area and move into your hive.
I have never had any luck making it happen myself. Usually with the screen cone method, you provide a new queen in your trap hive. The bees that exit can not get back thru the cone and eventually you have the majority of the bees in your trap hive with a new (hopefully laying) queen. Once the trap hive is established, you remove the cone and let them rob out the remainder of the old colony.
I have heard many methods of trying to lore or force the queen out, some being pretty extreme such as placing rat poison at the entrance to cause them to obscond. Most of which I think are wishful thinking.
I have never tried it, but perhaps the use of Bee-go, Bee Quick or the such, as Michael suggested would be worth a try.