T.M.
R.,
I would take as many precautions as you can to guard and keep things away from the heat. Make sure that your daughter can't lean against it either. My sister's youngest sat next to a base board heater and was burned quite badly. They aren't suppose to get that hot, but until you know if they are functioning properly be very cautious. I store like "Babies R Us" have guards for about any situation and the associates are quite helpful.
Also, be cautious of using an electric blanket suggested by another. Children and Seniors have a difficult time telling or adjusting for the heat from an electric blanket and can be burned. Nice warm footie pjs and layers of clothing would probably be better.
Good Luck,
TRUDI