The Collaborative International Dictionary of English v.0.48:

Anxiously \Anx"ious*ly\, adv.
   In an anxious manner; with painful uncertainty; solicitously.
   [1913 Webster]

WordNet (r) 3.0 (2006):

anxiously
    adv 1: with anxiety or apprehension; "we watched anxiously"
           [syn: anxiously, uneasily, apprehensively]

Moby Thesaurus II by Grady Ward, 1.0:

28 Moby Thesaurus words for "anxiously":
   animatedly, apprehensively, avidly, breathlessly, concernedly,
   eagerly, enthusiastically, fretfully, impatiently, intolerantly,
   keenly, misgivingly, promptly, quickly, readily, restively,
   restlessly, solicitously, uneasily, vivaciously, with alacrity,
   with gusto, with open arms, with relish, with zest, worriedly,
   zealously, zestfully