The Collaborative International Dictionary of English v.0.48:

Tenderly \Ten"der*ly\, adv.
   In a tender manner; with tenderness; mildly; gently; softly;
   in a manner not to injure or give pain; with pity or
   affection; kindly. --Chaucer.
   [1913 Webster]

WordNet (r) 3.0 (2006):

tenderly
    adv 1: with tenderness; in a tender manner; "tenderly she placed
           her arms round him"

Moby Thesaurus II by Grady Ward, 1.0:

35 Moby Thesaurus words for "tenderly":
   adoringly, affectionately, amorously, ardently, assiduously,
   carefully, cautiously, circumspectly, compliantly, considerately,
   dearly, delicately, devotedly, diligently, easily, fondly, gently,
   heedfully, industriously, lovingly, mindfully, painstakingly,
   passionately, regardfully, sedulously, softly, solicitously,
   submissively, thoroughgoingly, thoroughly, thoughtfully,
   with affection, with care, with great care, with love