Fat English king makes room for food (6)
I believe the answer is:
larder
'room for food' is the definition.
(room where food is kept)
'fat english king' is the wordplay.
'fat' becomes 'lard' (lard is a kind of fat).
'english' becomes 'E' (abbreviation).
'king' becomes 'R' (abbreviation of Latin rex).
'lard'+'e'+'r'='LARDER'
'makes' acts as a link.
(Other definitions for larder that I've seen before include "Room or cupboard for food storage" , "Food store" , "Cupboard or small room for food" , "Pantry" , "Food storeroom" .)