hut: [17] Etymologically, a hut is probably a ‘covering structure’. The word has plausibly been traced back to Germanic *khūd-, which also produced English hide and probably hoard, house, and huddle. This would have been the source of Middle High German hütte, which eventually found its way into French as hutte – whence English hut. => hide, hoard, house, huddle
hut (n.)
1650s, from French hutte "cottage" (16c.), from Middle High German hütte "cottage, hut," probably from Proto-Germanic *hudjon-, related to the root of Old English hydan "to hide," from PIE *keudh-, from root (s)keu- (see hide (n.1)). Apparently first in English as a military word. Old Saxon hutta, Danish hytte, Swedish hytta, Frisian and Middle Dutch hutte, Dutch hut are from High German.