Headgear of a red variety (6)
I believe the answer is:
fedora
'headgear' is the definition.
(fedora is a kind of headgear)
'of a red variety' is the wordplay.
'variety' indicates anagramming the letters.
'of'+'a'+'red'='ofared'
'ofared' with letters rearranged gives 'FEDORA'.
(Other definitions for fedora that I've seen before include "Felt hat much loved by 1930s gangsters" , "O, Fred, a hat becomes you" , "Read of (anag) - brimmed felt hat" , "Felt hat, dented lengthwise" , "Headwear" .)