Unmarried cook I named (6)
I believe the answer is:
maiden
'unmarried' is the definition.
(I've seen this in another clue)
'cook i named' is the wordplay.
'cook' is an anagram indicator.
'i'+'named'='inamed'
'inamed' anagrammed gives 'MAIDEN'.
(Other definitions for maiden that I've seen before include "Dotty over" , "Earliest - unmarried" , "First (speech)" , "clothes horse" , "Girl; kind of over" .)