Hmm... Something might be wrong with my body as I lack a rosy face and can't recall ever wearing a backlava
. Incidentally, there has been some evidence of parents inducing common cold or worse in their children by overdressing them when they were going outside. After getting back and undressing, the children were getting a temperature shock, jumping from a heat bath down to room temperature.
Probably nothing wrong with you. I don't know if frostbite on exposed skin (separate from hypothermia) is a big issue until the temperature drops below -10c (15f). Though I'm sure enough time below freezing is all it really takes.