Crossword Genius

Extremely fashionable woman’s soft brimmed hat (6)

Ross

I believe the answer is:

fedora

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'brimmed hat' is the definition.
(I've seen this in another clue)

'extremely fashionable woman's' is the wordplay.
'extremely' says to hollow out the word (remove centre letters) (letters on the extremes of the word are used).
'woman' becomes 'dora' ().
'fashionable' with its centre removed is 'fe'.
'fe'+'dora'='FEDORA'

'soft' is the link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for fedora that I've seen before include "Felt hat dented sideways" , "Type of hat" , "Soft felt hat with a curled brim" , "Felt hat, dented lengthwise" , "Headwear" .)

I've seen this clue in The Times.
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