You may want to apply some cinnamon on those remaining exposed part. And hope for the best, it has roots so it may try to recover, unlike a straight cutting that was cut off and had to be rooted.
Good luck! Hope it has enough energy! I would refrain from watering for now, no leaves to use it, just let it callus that part and see how it goes.
How about the top part, was it too demolished?? If the part that got removed just lost all the leaves, you may try to wait patiently for Spring and hopefully it will still try to root.