Source : Webster's Revised Unabridged Dictionary (1913)

Worthily \Wor"thi*ly\, adv.
   In a worthy manner; excellently; deservedly; according to
   merit; justly; suitably; becomingly.

         You worthily succeed not only to the honors of your
         ancestors, but also to their virtues.    --Dryden.

         Some may very worthily deserve to be hated. --South.

Source : WordNet®

worthily
     adv : in a worthy manner; with worthiness