How do I help this cat?

[Catherine]

Silly Sally Cat! You are doing so much to help her feel safe. She is an odd creature. Do you know where she goes when you are not there?
Is there something going on that you don't know about.  If only you could have a camera on the room and watch to see what happens.

I am hoping the cooler weather will give her a reason to like the room again. You can't have her staying out all winter.

Maybe what she really wants is for you to move in with her in her room.  Cats get some odd ideas.