Practically all of my characters have caught the flu once. One guy went almost immediately to 50% injury! There could be a greater instance of minor injury while conducting strenuous activities like logging trees and building traps. Said injuries would have to be cared for and medicated with the local herbs, too. I always have a lot of healing herbs that don't get used at all, save for seasoning cooking.
Regarding drinking icy water, I've always wondered why the water in my skins wasn't frozen. Maybe it's carried under my shirts? Anyway, if that's not the case, drinking water would likely require a warming fire, yes?
Perhaps these are supposed to be the hardiest types, inured to the worst conditions, unlike feeble villagers? While it would be a physical shock to be inundated in water, just drinking icy water probably wouldn't be detrimental to folks who work and live in these conditions, breathing the frigid air and being hearty enough to acclimatize in Arctic-like conditions.