I agree with the others... I'd let her have it. My lovie is possessive too, but out of the cage is a doll.
The really funny thing is, I get charged if I touch things in her cage if I go through 7 of the 8 doors in her cage.
BUT- the one door on the bottom right is my door, she's decided. I can do anything I want as long as I go through that ONE DOOR.
I can't give Jack jingle balls. They turn into her, ahem, "love toy" and out pop 6 eggies every time. lol