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1620s, from Latin frigidus "cold, chill, cool," figuratively "indifferent," from stem of frigere "be cold;" related to frigus "cold, coldness, frost," from PIE root *srig- "cold."
The meaning "wanting in sexual heat" is attested from 1650s. Frigidaire as the proprietary name of a brand of self-contained automatically operated iceless refrigerator dates from 1919 (Frigidaire Corporation, Detroit, Michigan, U.S.).
frigid frig·id (frĭj'ĭd)
Persistently averse to sexual intercourse.