Definition of deservedly adverb from the Oxford Advanced Learner's Dictionary

 

deservedly

 adverb
adverb
BrE BrE//ˈzɜːvɪdli//
 
; NAmE NAmE//ˈzɜːrvɪdli//
 
 
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in the way that is deserved; correctly The restaurant is deservedly popular. He has just been chosen for the top job, and deservedly so. opposite undeservedly
See the Oxford Advanced American Dictionary entry: deservedly