The Collaborative International Dictionary of English v.0.48:
Hazily \Ha"zi*ly\ (h[=a]"z[i^]*l[y^]), adv. In a hazy manner; mistily; obscurely; confusedly. [1913 Webster]WordNet (r) 3.0 (2006):
hazily adv 1: through a haze; "we saw the distant hills hazily" 2: in an indistinct way; "he remembered her only hazily"