Aviatrix gives listener courage we hear (7)
I believe the answer is:
Here is my best explanation:
'aviatrix' is the definition.
'listener courage we hear' is the subsidiary indication.
'listener' becomes 'ear'.
'courage' becomes 'heart' (heart is a kind of courage).
'we hear' indicates a 'sounds like' (homophone) clue.
'heart' is a homophone of 'hart'.
'gives' is the link.
(Other definitions for earhart that I've seen before include "high-flier", "they failed to find her", "Amelia -, US aviation pioneer", "Flying ace", "Amelia --, first woman to fly the Atlantic", "Amelia __ , aviator, d. 1937", "Aviator", "Amelia ......, American pioneer aviator", "Amelia . . . . . . ., U.S. pioneer aviator" and "Amelia --, air pioneer".)