Male majority almost left (4)
I believe the answer is:
bull
'male' is the definition.
(bull is a kind of male)
'majority almost left' is the wordplay.
'majority' becomes 'bulk' ('bulk' can be a synonym of 'majority').
'almost' means to remove the last letter (most of the word but not all of it).
'left' becomes 'l' (common abbreviation).
'bulk' with its final letter taken away is 'bul'.
'bul'+'l'='BULL'
(Other definitions for bull that I've seen before include "rubbish" , "Papal document; farm animal" , "Dartboard centre" , "Dartboard's centre" , "fifty on board" .)