You can do whichever is best for your situation. If you have access to live rats and she'll eat those, you can continue to feed them. If you want to keep her on F/T, you can wait her out, which will not harm her.
I always just wait them out. I'm patient, and they'll eventually get hungry enough to see things my way.
Only ever had one animal that beat me at that game, and I suspect she was a wild caught female. The only thing she would eat was live gerbils.