de ‧ serv ‧ ed ‧ ly /dɪˈzɜːvədli, dɪˈzɜːvɪdli $ -ɜːr-/ BrE AmE adverb
1 . in a way that is right or deserved
deservedly popular/well-known/famous etc
Bistro Roti is a deservedly popular restaurant.
Arsenal were deservedly beaten 2–1 by Leeds.
2 . (and) deservedly so used to say that you agree that something is right and deserved:
She is widely respected in the music world, and deservedly so.