Local angle is on the woman's media proprietor (9)
I believe the answer is:
publisher
'media proprietor' is the definition.
'publisher' can be an answer for 'proprietor' (publisher is a kind of proprietor). I'm not certain of the 'media' bit.
'local angle is on the woman's' is the wordplay.
'local' becomes 'pub' (one's local pub).
'angle' becomes 'l'.
'on' means one lot of letters go next to another.
'the woman's' becomes 'her' (belonging to a woman).
'pub'+'l'+'is'+'her'='PUBLISHER'
Can you help me to learn more?
(Other definitions for publisher that I've seen before include "Book or journal issuer" , "damned by a duke" , "Eg Jonathan Cape or Hamish Hamilton" , "bookmaker!" , "Issuer of books, music, etc" .)