In a manner characterized by blushing, or relating to a sudden flowing or abundance.
From 'flush' (with additional sense of blushing or reddening from the 1500s) plus the adverbial suffix '-ingly'. Creates an adverb describing manner in Victorian-era literature.
This Victorian-sounding adverb appears in 19th-century novels to describe how characters blush or speak emotionally—it's the kind of elegant precision English once used for feelings we now describe as just 'embarrassed.'
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