Hat favoured by Indiana Jones and Tom Baker in Doctor Who (6)

I believe the answer is:

fedora

(Other definitions for fedora that I've seen before include "Read of (anag) - brimmed felt hat" , "Headgear" , "Felt hat dented sideways" , "Style of hat" , "Or fade away with man's soft felt hat" .)

I've seen this clue in The Guardian.

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