Will my cat get cold sleeping on the floor?
Yes. It's best not to let your cat sleep on the floor, regardless of the season. Floors don't retain heat well, and even in summer, they can get cold at night. Cats also have less fur on their bellies, and when they sleep, they usually lie down with their bellies touching the ground, making them susceptible to chills, diarrhea, colds, and other symptoms. Therefore, it's important to keep your cat warm, even in winter. 
When a cat is sick, its body is very weak, and its appetite may be affected by the illness. However, a cat's body cannot function without food, so the owner should supplement the cat's nutrition by preparing some nutritious and easily digestible food, such as goat milk powder, porridge, soft cat food, etc., and appropriately adding some cat food. This way, the cat's body can get the necessary nutrition, which will help its cold recover quickly.