The Collaborative International Dictionary of English v.0.48:

Coldly \Cold"ly\, adv.
   In a cold manner; without warmth, animation, or feeling; with
   indifference; calmly.
   [1913 Webster]

         Withdraw unto some private place,
         And reason coldly of your grievances.    --Shak.
   [1913 Webster]

WordNet (r) 3.0 (2006):

coldly
    adv 1: in a cold unemotional manner; "he killed her in cold
           blood" [syn: coldly, in cold blood]

Moby Thesaurus II by Grady Ward, 1.0:

46 Moby Thesaurus words for "coldly":
   antagonistically, apathetically, chillily, cold-bloodedly,
   coldheartedly, coolly, deadpan, dispassionately, dormantly, dully,
   frostily, halfheartedly, heartlessly, heavily, hostilely,
   impassively, in cold blood, inactively, indifferently, inertly,
   inimically, languidly, languorously, latently, lifelessly,
   lukewarmly, passively, perfunctorily, phlegmatically, sluggishly,
   spiritlessly, stagnantly, statically, stoically, stolidly,
   torpidly, unamiably, unamicably, uncordially, unemotionally,
   unfeelingly, ungenially, unpassionately, with dry eyes,
   with indifference, with utter indifference