Chickens fare better with cold than they do wet. First year I had chickens I would go close all the windows when it would snow, and my rooster got terrible terrible frostbite, a few other chickens had a little here and there... but he lost half his comb and waddles at least half...
Anyway the following year I felt like forget closing it up if they are going to get frostbite anyway...and with the coop wide open no frostbite, even though the first winter was also a lot more mild than the next year. So I got 0 frostbite they year it was super cold and awful weather all winter long and I left all the windows open...but the previous year terrible frostbite with molder weather and a closed coop.
I have a rooster with a really really huge single comb and I expected the whole thing to freeze off over the winter, but come spring be still had a huge impressive frostbite free comb...
I did have a chicken somehow not make It into the coop and it froze to death while bedded on the ground in the snow...so cold is better than humid and with the windows closed it is just too much moisture in the air, or in the snow