One is not eager to show it (6)
I believe the answer is:
apathy
'it' is the definition.
The definition suggests a singular noun which matches the answer.
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for apathy that I've seen before include "Absence of interest or emotion" , "Indifference - listlessness" , "Flatness" , "Impassivity - lack of feeling" , "Indifference, emotionlessness" .)