Shoo

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a natural exclamation: first recorded in late Middle English. The verb use dates from the early 17th century.

wiktionary

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Compare Dutch schuwen(“to shun”), German scheuchen(“to scare, drive away”).

etymonline

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shoo (v.)

1620s, "to drive away by calling 'shoo,' " from the exclamation (late 15c.), perhaps instinctive, compare German schu, Italian sciò. Related: Shooed; shooing.