ANSWER: Check it for heat with the back of your hand.
EXPLANANTION: This way if the door is hot, you'll have a burn on the back of your hand instead. It won't be fun, but you can still use the hand and grab things.
In an extreme case, if the door were to be too hot and you grabbed it with your palm and fingers, it could melt the flesh and stick to the hot door. That would be very painful and you may permanently lose function in your hand or have to have it amputated (removed.)