Kaidan Yuki Jorou - The Ghost Story of the Snow Witch
(Japan 1968) (Many Thanks to ZoneDaiatlas)
A master sculptor and his apprentice are trapped in a bad snow storm after finding a special tree for carving a statue for the local temple.
Finding refuge in an abandoned hut they celebrate their luck n finding the tree but soon they are visited by the Snow Witch who freezes the sculptor to death but takes pity on the apprentice. He must promise to never speak of this or she'll return and kill him..