This bent male's running the organisation (13)
I believe the answer is:
establishment
'the organisation' is the definition.
(establishment is a kind of organization)
'this bent male's running' is the wordplay.
'running' indicates anagramming the letters.
'this'+'bent'+'males'='thisbentmales'
'thisbentmales' with letters rearranged gives 'ESTABLISHMENT'.
(Other definitions for establishment that I've seen before include "ruling body!" , "Governing body" , "Permanent staff - powerful class" , "Power-wielding class" , "Foundation" .)