welllllll..........
I don't agree that you can NEVER refreeze a mouse. If the mouse has been defrosted and promptly given to the snake, the snake refuses it, and it is promptly re-frozen, why not re-freeze it? The rule of thumb is if it has been left out, defrosted for over a half hour (or more depending on the ambiant temperature), then it has had a chance to become home to bacteria and the like that can be harmful. Then, common sense tells you not to refreeze it and use it later.
Now, not to open a huge can of worms here, but I also keep hognose snakes which are known in the wild to eat carrion. I have actually gotten hatchlings to eat partially rotting pinkies (balloon pinkies - eewwwwwwwww) that wouldn't eat anything else. So, one has to believe that our snakes are capable of digesting things that we obviously wouldn't want to put into our own bellies...
In your case, with Aunt Jemimah, you are probably going to want to present the mouse to her warm (and dried off). As soon as the mouse is cool, you may want to warm it up a bit. If nothing else works, you may need to leave the mouse overnight, right outside of her hide box. In that case, you will not want to re-freeze the mouse for later use as it will probably be getting pretty ripe.
One other little tip that has worked with snakes that I have had in for re-hab and release--use brown mice. If you can get a few brown mice, kill them and freeze them, and use them to get her used to eating frozen thawed. I have had a large number of rehab wild snakes that would only eat brown/black mice while being treated.
Good luck!