Fay
late Middle English: from Old French fae, faie, from Latin fata ‘the Fates’, plural of fatum (see fate). Compare with fairy.
wiktionary
From Middle English feyen, feien, from Old English fēġan(“to join, unite”), from Proto-Germanic *fōgijaną(“to join”), from *fōgō(“joint, slot”), from Proto-Indo-European *paḱ-(“to fasten, place”). Akin to Old Frisian fōgia(“to join”), Old Saxon fōgian(“to join”), Middle Low German fögen(“to join, add”), Dutch voegen(“to add, place”), Old High German fuogen(“to connect”) (German fügen(“to connect”)), Old English fōn(“to catch”). More at fang.
From Middle English fegien, fæien(“to cleanse”), from Old Norse fægja(“to cleanse, polish”), from Proto-Germanic *fēgijaną(“to decorate, make beautiful”), from Proto-Indo-European *pōḱ-, *pēḱ-(“to clean, adorn”). Cognate with Swedish feja(“to sweep”), Danish feje(“to sweep”), German fegen(“to cleanse, scour, sweep”), Dutch vegen(“to sweep, strike”). More at feague, fake, fair.
Middle English faie, fei(“a place or person possessed with magical properties”), from Middle French feie, fee(“fairy", "fae”). More at fairy.
Abbreviation of ofay.
etymonline
fay (n.)
"fairy," late 14c., from Old French fae (12c., Modern French fée), from Vulgar Latin *fata "goddess of fate," fem. singular of Latin fata (neuter plural), literally "the Fates" (see fate (n.)). Adjective meaning "homosexual" is attested from 1950s.
Fay
fem. proper name, in some cases from Middle English fei, Old French fei "faith," or else from fay "fairy."
