Hurried over, primarily incensed about explicit art (7)
I believe the answer is:
erotica
'explicit art' is the definition.
The definition suggests a singular noun which matches the answer.
'hurried over primarily incensed about' is the wordplay.
'hurried' becomes 'tore' (tear can mean to rush or hurry).
'over' says the letters should be written in reverse.
'primarily incensed' becomes 'i' (I am not sure about this - if you are sure you should believe this answer much more).
'about' becomes 'ca' (circa).
'tore' backwards is 'erot'.
'erot'+'i'+'ca'='EROTICA'
Can you help me to learn more?
(Other definitions for erotica that I've seen before include "Objects designed to arouse sexual desire" , "Blue stuff" , "sexy stuff" , "Art of a sexual nature" , "writings about sex" .)