I sweat in the cold air. My face drips, and my body. If I go from cold air to inside a warm shop say, I will pour with sweat, hands as well. I don't know why, I'm hypothyroid and have adrenal fatigue too, maybe it's down to that, or lack of minerals/vitamins.
I have leaky gut, maybe I losing nutrients because of it. I read that calcium deficiency can cause your head to sweat in cold air.