Kingdom has king, extraordinary male (5)
I believe the answer is:
realm
'kingdom' is the definition.
(kingdom is a type of country or realm)
'king extraordinary male' is the wordplay.
'king' becomes 'R' (abbreviation of Latin rex).
'extraordinary' indicates anagramming the letters.
'male' anagrammed gives 'ealm'.
'r'+'ealm'='REALM'
'has' acts as a link.
(Other definitions for realm that I've seen before include "Country" , "Peers are possessed by this" , "Province" , "the UK, perhaps" , "Area of influence" .)