Resembling, characteristic of, or having the qualities of an enemy; hostile or antagonistic in manner.
From 'enemy' plus the English suffix '-like' (meaning 'resembling or having qualities of'). It's a compound adjective formed by productive English word-building.
Compound adjectives with '-like' were super popular in older English—nowadays we'd probably just say 'hostile' or 'antagonistic' rather than 'enemylike,' showing how vocabulary shifts between direct and compound forms.
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