Eagerly means with excited, impatient enthusiasm. Leaning forward, unable to wait.
It usually attaches to waiting and to accepting, giving us eagerly awaited, eagerly anticipated and eagerly agreed. Eagerly awaited is close to a fixed phrase in reviews and announcements. The adjective eager takes to and a verb, as in eager to help, and the noun eagerness is far rarer than either. English has one memorable image for the state, since being an eager beaver means being enthusiastic to the point of irritating everybody else.
1adverbeagerlyWith enthusiasm and impatience.
“The children waited eagerly by the gate.”
Also accepted in games: keenly
Middle English
egerly
English, today
eagerly
From Middle English egerly; equivalent to eager + -ly.
Etymology from Wiktionary, CC BY-SA