The Fourth Doctor wears a deerstalker. (TV: The Talons of Weng-Chiang)
A deerstalker was a type of hat.
The Fourth Doctor wore a deerstalker of tan and scarlet tartan while visiting Victorian London to go along with his Sherlock Holmes-styled outfit, such as when he met Magnus Greel. (TV: The Talons of Weng-Chiang)
While posing as Sherlock Holmes, the Eleventh Doctor wore a deerstalker hat of brown and black houndstooth tweed. (TV: The Snowmen)