Mystic
Middle English (in the sense ‘mystical meaning’): from Old French mystique, or via Latin from Greek mustikos, from mustēs ‘initiated person’ from muein ‘close the eyes or lips’, also ‘initiate’. The current sense of the noun dates from the late 17th century.
wiktionary
From Old French mistique, from Latin mysticus, from Ancient Greek μυστικός(mustikós, “secret, mystic”), from μύστης(mústēs, “one who has been initiated”). Doublet of mystique.
etymonline
mystic (adj.)
late 14c., mistike, "spiritually allegorical, pertaining to mysteries of faith," from Old French mistique "mysterious, full of mystery" (14c.), or directly from Latin mysticus "mystical, mystic, of secret rites" (source also of Italian mistico, Spanish mistico), from Greek mystikos "secret, mystic, connected with the mysteries," from mystes "one who has been initiated" (see mystery (n.1)).
Meaning "pertaining to occult practices or ancient religions" is recorded by 1610s. That of "hidden from or obscure to human knowledge or comprehension" is by 1630s.
mystic (n.)
"exponent of mystical theology, one who accepts or preaches some form of mysticism," 1670s, from mystic (adj.). In Middle English, the noun meant "symbolic meaning, interpretation" (early 14c.).
Mystic
place name in Connecticut, U.S., deformed from Algonquian missituk "great tidal river," from missi "large" + -tuk "tidal river."