Hello lynmadeleine, it is good you trimmed off the rotted parts of your jade plant. Give it time to recover. As long as there is still some green parts remaining it may still bounce back once the warm weather returns.
In the meantime, just help it get some warmth, no direct sun at this point, it is in so much stress already.
As a back-up, if there is still some good leaves remaining, twist them off and set aside. It will be a good way to start a new plant, new leaves or roots will form from it. Just lay on a fast draining media, use a shallow container, and grow the cutting.