K: no, the fruit will probably not ripen. It will be fine to leave your tree in a cold room for the Winter, but if the temp goes steadily above the mid-forties your tree might leaf out. If this happens, don't worry, I keep most of my young trees growing actively through the Winter. As for watering, be especially careful not to overwater, but don't let it completely dry out. The amount of water and the frequncy will both depend upon how dry the air is where you are keeping your tree, and the type of soil in which your tree is planted.....Elder

I sincerely appreciate your response, Elder, and now look forward to maintaining a happy fig tree this winter!
K