In an angry, passionate, or intensely emotional manner; with heated feelings.
From 'heated' (past participle of 'heat') + '-ly' (adverbial suffix). 'Heated' as an adjective for angry discourse emerged by the 17th century, treating emotional intensity as a form of heat.
The metaphor of anger as heat is so fundamental to English that we barely notice it—we 'heat up,' 'cool down,' get 'fired up' or 'burnt out.' This shows how temperature is literally our language for understanding emotions across cultures.
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