Snooty

google

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early 20th century: from snoot + -y1; compare with snotty.

wiktionary

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From snoot +‎ -y.

etymonline

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snooty (adj.)

"proud, arrogant," 1918, noted that year as college slang, from snoot (n.) + -y (2). Probably with suggestions of snouty (1858); the notion being of "looking down one's nose." Related: Snootily; snootiness.