The Collaborative International Dictionary of English v.0.48:

Wisely \Wise"ly\, adv.
   In a wise manner; prudently; judiciously; discreetly; with
   wisdom.
   [1913 Webster]

         And wisely learn to curb thy sorrows wild. --Milton.
   [1913 Webster]

WordNet (r) 3.0 (2006):

wisely
    adv 1: in a wise manner; "she acted wisely when she invited her
           parents" [syn: wisely, sagely] [ant: foolishly,
           unwisely]

Moby Thesaurus II by Grady Ward, 1.0:

21 Moby Thesaurus words for "wisely":
   artfully, astutely, circumspectly, cleverly, considerately,
   cunningly, discerningly, discreetly, intelligently, judiciously,
   knowingly, providently, prudently, rationally, reasonably,
   sagaciously, sensibly, shrewdly, smartly, thoughtfully,
   understandingly