Smite
Old English smītan ‘to smear, blemish’, of Germanic origin; related to Dutch smijten and German schmeissen ‘to fling’.
wiktionary
From Middle English smiten, from Old English smītan(“to daub, smear, smudge; soil, defile, pollute”), from Proto-Germanic *smītaną(“to sling; throw; smear”), from Proto-Indo-European *smeyd-(“to smear, whisk, strike, rub”). Cognate with Saterland Frisian smiete(“to throw, toss”), West Frisian smite(“to throw”), Low German smieten(“to throw, chuck, toss”), Dutch smijten(“to fling, hurl, throw”), Middle Low German besmitten(“to soil, sully”), German schmeißen(“to fling, throw”), Danish smide(“to throw”), Gothic 𐌱𐌹𐍃𐌼𐌴𐌹𐍄𐌰𐌽( bismeitan, “to besmear, anoint”).
etymonline
smite (v.)
"to hit, strike, beat," mid-12c., from Old English smitan, which however is attested only as "to daub, smear on; soil, pollute, blemish, defile" (strong verb, past tense smat, past participle smiten), from Proto-Germanic *smitan (source also of Swedish smita, Danish smide "to smear, fling," Old Frisian smita, Middle Low German and Middle Dutch smiten "to cast, fling," Dutch smijten "to throw," Old High German smizan "to rub, strike," German schmeißen "to cast, fling," Gothic bismeitan "to spread, smear"). "The development of the various senses is not quite clear, but that of throwing is perh. the original one" [OED]. Watkins suggests "the semantic channel may have been slapping mud on walls in wattle and daub construction" and connects it with PIE *sme- "to smear;" Klein's sources also say this.
Sense of "slay in combat" (c. 1300) is from Biblical expression smite to death, first attested c. 1200. Meaning "visit disastrously" is mid-12c., also Biblical. Meaning "strike with passion or emotion" is from c. 1300.
