My anagram's anagram is a furious lady.
My anagram's anagram is a comic military force.
My anagram's anagram is to sell weapons to a flamboyant guy.
What are we anagramming?
We are anagramming
"My anagram"
FULL explanation:
My anagram's anagram is a furious lady.
My anagram ~ angry ma'am(by me) /mama (thanks @Stiv)
My anagram's anagram is a comic military force.
My anagram ~ manga army (thanks @MrPie in my chatroom) (original answer was “an mag army”, but realised this was much better)
My anagram's anagram is to sell weapons to a flamboyant guy.
My anagram ~ arm gay man (thanks @Stiv)