Anger about a man making music (7)
I believe the answer is:
ragtime
'music' is the definition.
(ragtime is a kind of music)
'anger about a man' is the wordplay.
'anger' becomes 'rage' (rage is a kind of anger).
'about' is an insertion indicator.
'a man' becomes 'tim' (short for Timothy).
'rage' enclosing 'tim' is 'RAGTIME'.
'making' acts as a link.
(Other definitions for ragtime that I've seen before include "Syncopated music form" , "Scott Joplin music style" , "Syncopated piano music from the 1890s" , "Maigret (anag)" , "Scott Joplin's genre" .)