Etymology
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discountenance (v.)

1570s, "put to shame," a sense now obsolete; 1590s "show disapprobation of," hence "discourage, check, or restrain," etymologically "set the countenance against," from French descontenancer "to abash," literally "put out of countenance" (16c., Modern French décontenancer), from des- "off, away" (see dis-) + contenancer "to behave (a certain way)," from Old French contenance "demeanor, bearing, conduct," from Latin continentia "way one contains oneself" (see countenance (n.)).

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Definitions of discountenance

discountenance (v.)
look with disfavor on;
The republic soon discountenanced its few friends
discountenance (v.)
show disapproval by discouraging;
any measure tending to fuse invalids into a class with special privileges should be discountenanced
From wordnet.princeton.edu