And that’s why you want the snowquill set. The warm doublet is a good start, but exploring the cold areas of the map - like Mount Lanayru or fighting the Divine Beast Vah Medoh - will require better (and warmer) clothes. You can buy a warm doublet in Hateno Village for 80 rupees.After you complete the Great Plateau, the Old Man will leave a warm doublet in his hut.
Show the meal to the Old Man, and he’ll give you the warm doublet. It won’t protect you much, but it’ll take the edge off of the cold. The first piece of cold weather gear you’ll pick up is the warm doublet.
Zelda Breath of the Wild guide: Everything you need to know about elixirs, critters and monster parts Warm doublet