Affected by drouth; very dry or thirsty, or characterized by drought conditions.
From drouth (archaic form of drought) plus the adjective-forming suffix -y, meaning 'having the quality of' or 'characterized by'. Common in Scottish and Northern English dialects.
Scottish and Northern English dialects preserved 'drouthy' while most of England switched to 'drought'—it's a fascinating reminder that language change doesn't happen everywhere at the same time!
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