Source : Webster's Revised Unabridged Dictionary (1913)

Trusting \Trust"ing\, a.
   Having or exercising trust; confiding; unsuspecting;
   trustful. -- {Trust"ing*ly}, adv.

Source : WordNet®

trustingly
     adv : with trust; in a trusting manner; "she looked at her father
           trustingly" [syn: {trustfully}, {confidingly}] [ant: {distrustfully}]