Discourage

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late Middle English: from Old French descouragier, from des- (expressing reversal) + corage ‘courage’.

wiktionary

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From Middle French descourager (modern French décourager), from Old French descouragier, from des- and corage. Surface analysis dis- +‎ courage.

etymonline

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discourage (v.)

mid-15c., discoragen, "deprive of or cause to lose courage," from Old French descoragier "dishearten" (Modern French décourager), from des- "away" (see dis-) + coragier, from corage "spirit" (see courage). Meaning "express disapproval or opposition, dissuade or hinder from" is from 1640s. Related: Discouraged; discouragement; discouraging.