In a way that is deserved or warranted; justly or rightfully based on what someone has earned.
From 'deserved' (past participle of deserve, from Latin 'deserv-' meaning serve fully or be worthy of) plus '-ly' (adverb marker). The meaning evolved from 'to serve fully' to 'to merit or be worthy of.'
Deservedly appears most often in criticism—'he was deservedly criticized' or 'she's deservedly famous.' It implies moral judgment: the consequence is not just happening, it's rightful. That weight of justice is why deservedly carries more punch than simply, smoothly, or gently.
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