One is not keen 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 rest of the clue.
Can you help me to learn more?
(Other definitions for apathy that I've seen before include "Disinclination to shift" , "Lack of interest or concern" , "Absence of emotion or enthusiasm" , "Impassivity - lack of feeling" , "Flatness" .)