The Collaborative International Dictionary of English v.0.48:

Worthily \Wor"thi*ly\, adv.
   In a worthy manner; excellently; deservedly; according to
   merit; justly; suitably; becomingly.
   [1913 Webster]

         You worthily succeed not only to the honors of your
         ancestors, but also to their virtues.    --Dryden.
   [1913 Webster]

         Some may very worthily deserve to be hated. --South.
   [1913 Webster]

WordNet (r) 3.0 (2006):

worthily
    adv 1: in a worthy manner; with worthiness