The Collaborative International Dictionary of English v.0.48:
Complacently \Com*pla"cent*ly\ (k[o^]m*pl[=a]"sent*l[y^]), adv. In a complacent manner. [1913 Webster]WordNet (r) 3.0 (2006):
complacently adv 1: in a self-satisfied manner; "he complacently lived out his life as a village school teacher"