Anger involving female's firearm (5)
I believe the answer is:
rifle
'firearm' is the definition.
(I know that rifle is a type of firearm)
'anger involving female's' is the wordplay.
'anger' becomes 'rile' (rile can mean to annoy or anger).
'involving' is an insertion indicator.
'female' becomes 'f' (common abbreviation).
'rile' placed around 'f' is 'RIFLE'.
(Other definitions for rifle that I've seen before include "Carbine" , "An arm" , "Go through in search" , "Gun; thoroughly search" , "Pillage; a weapon" .)