Hazy

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early 17th century (in nautical use in the sense ‘foggy’): of unknown origin.

wiktionary

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From earlier hawsey (1625), a nautical term of uncertain origin. Possibly from Middle English *hasi, *haswy, from Old English haswiġ(“grey; ashen; dusky”), from Old English hasu(“dusky; grey; ashen”), from Proto-Germanic *haswaz(“grey”), from Proto-Indo-European *ḱeh₂s-(“bright grey”), surface analysis as haze +‎ -y; although Modern English haze is more likely a back-formation of hazy.

etymonline

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hazy (adj.)

1620s, hawsey, nautical, of unknown origin. Some connect it with German hase "hare," an animal which plays an important part in Germanic folklore, with many supernatural and unlucky aspects in medieval times (among the superstitions: a dead hare should not be brought aboard a fishing ship, and the word hare should not be spoken at sea). Another suggestion is Old English hasu, haswe "gray." Related: Hazily; haziness.