Fedora

The Fourth Doctor sports a fedora. (TV: The Sun Makers)

A fedora was a hat.

Such a hat was part of the Fourth Doctor's outfit. (TV: Robot) He occasionally used it to cover his face to nap. (TV: Robot, The Androids of Tara)

The Seventh Doctor wore a paisley banded white fedora (PROSE: White Darkness) that he had had made especially for him. (PROSE: First Frontier)

When the Twelfth Doctor visited Las Vegas, he donned a fedora at Clara Oswald's insistence. (COMIC: Gangland)

The Dream Lord wears a chocolate brown fedora when he taunts the Eleventh Doctor, Amy Pond, and Rory Williams during the beginning of the Eknodine assault. (TV: Amy's Choice)

Diagoras wore a black fedora when he was getting recruits from Hooverville. (TV: Daleks in Manhattan)

Oscar Botcherby wore an ivory fedora when he and Anita met the Sixth Doctor, Peri Brown, and Jamie McCrimmon after seeing Sontaran Group Marshal Stike's scoutship fly over. (TV: The Two Doctors)