English girl after fine felt hat (6)
I believe the answer is:
fedora
'felt hat' is the definition.
('fedora' can be a synonym of 'felt hat')
'english girl after fine' is the wordplay.
'english' becomes 'e' (abbreviation).
'girl' becomes 'dora' (**).
'after' says to put letters next to each other.
'fine' becomes 'f' (abbreviation).
'e'+'dora'='edora'
'edora' after 'f' is 'FEDORA'.
(Other definitions for fedora that I've seen before include "top fashion" , "Hat for RAF doe" , "O, Fred, a hat becomes you" , "Soft hat with band" , "Felt hat dented lengthways" .)