English girl after fine headgear (6)
I believe the answer is:
fedora
'headgear' is the definition.
(I know that fedora is a type of hat)
'english girl after fine' is the wordplay.
'english' becomes 'e' (abbreviation).
'girl' becomes 'dora' (girl's name).
'after' says to put letters next to each other.
'fine' becomes 'f' (abbreviation).
'e'+'dora'='edora'
'edora' put after 'f' is 'FEDORA'.
(Other definitions for fedora that I've seen before include "Soft felt hat with a curled brim" , "Brimmed hat with creased crown" , "top fashion" , "Felt hat with a creased crown" , "Felt hat much loved by 1930s gangsters" .)