Scarf
A scarf was an item of clothing worn around the neck, often to protect from weather.
Worn by the Doctor
Many versions of the Doctor wore scarves.
The First Doctor sometimes wore a silver grey scarf, (TV: An Unearthly Child, etc.) right up to his fall after the 1986 Cyberman Invasion of Earth. (TV: The Tenth Planet, Twice Upon A Time)
The Fourth Doctor initially wore a long multi-coloured scarf knitted by Madame Nostradamus. (TV: The Ark in Space) He also wore a Royal Stewart tartan scarf on Scotland during the Zygon Gambit. (TV: Terror of the Zygons) He later switched to a crimson one with violet purple stripes, (TV: The Leisure Hive) right up to his death after the Tremas Master's Entropic Enterprise. (TV: Logopolis)
The Seventh Doctor tried a puce scarf with ebony black stripes before switching for a Clan Wallace tartan scarf which he lost it when the First Rani's base blew up. (TV: Time and the Rani) He switched to paisley scarves in crimson, (TV: Paradise Towers-The Greatest Show in the Galaxy) burgundy, (TV: Battlefield-Survival) and mustard and maroon. (TV: Dimensions in Time)
The War Doctor wore scarves done on vermillion and alabaster ikat, (AUDIO: Lion Hearts) plain beige, (COMIC: The Clockwise War) plain crimson, (COMIC: Ambush) eggplant purple, (COMIC: The Lost Dimension) plain white, (COMIC: The Whole Thing's Bananas) plain maroon, (COMIC: First Rule) bronze brown, (COMIC: Four Doctors) or knitted in a burgundy and ivory herringbone pattern. (AUDIO: The Innocent) The burgundy and ivory herringbone scarf was his last one which he wore in the Battle for the Tantalus Eye, (PROSE: Engines of War) and right up to his death after the 1562/2013 Zygon Invasion of Earth and the Fall of Gallifrey. (TV: The Day of the Doctor)
The Eleventh Doctor wore an ivory scarf with a black tailcoat. (TV: The Big Bang, Let's Kill Hitler) He also wore an ash grey scarf with his Victorian outfit. (TV: The Great Detective, The Snowmen)
The Thirteenth Doctor wore a rainbow scarf for multiple New Year's Eves. (TV: Resolution)
A parallel Ninth Doctor wore a Keble College scarf thrown over one shoulder. (WC: Scream of the Shalka)
The Warrior, a parallel version of the Doctor's fifth incarnation which looks similar to the sixth, spent his first hours in his predecessor's rainbow scarf. (AUDIO: Dust Devil) He also wore a burgundy and ivory herringbone scarf similar to the War Doctor on N-Space. (AUDIO: The Difference Office)
Worn by Companions
Romana II wore an ivory scarf during the Movellan Incident. (TV: Destiny of the Daleks)
Rose Tyler wore a rainbow scarf during her visit to Cardiff. (TV: Boom Town)
Donna Noble wore scarves done on midnight blue (TV: Partners in Crime) or charcoal. (TV: Turn Left)
Yasmin Khan and Dan Lewis, and Professor Jericho wore scarves when they visited Kumar on Nepal during 1904; Yasmin's of plum and amber ikat, and Dan's in Prussian blue. (TV: Survivors of the Flux)
Amy Pond wore crimson scarfs. (TV: Vincent and the Doctor, TV: The Pandorica Opens/The Big Bang)
Jo Grant wore a scarlet chiffon scarf when she first met Mark IV Daleks including a gold leader as well as their Controller and Ogrons during the Time Paradox Incident; (TV: Day of the Daleks) and when helping many versions of the Doctor and companions. (GAME: Lost in Time) She also wore an emerald and ivory ikat scarf with rust orange symbols when she reunited with Clyde Langer on the Memory TARDIS. (TV: The Three Doctors)
Ace wore an olive green scrim scarf during her encounter with Mark VII Daleks on the Obscura during the Last Great Time War. (AUDIO: Soldier Obscura)
Audacity Montague wore a silver scarf during a Christmas adventure with the Eighth Doctor and Charlie Pollard. (AUDIO: Twenty-Four Doors in December-Winter of the Demon)
Helen Sinclair was wearing a scarf when she first met the Eighth Doctor and Liv Chenka at the National Museum. (AUDIO: The Red Lady)
As CEO of Blue Kang Travel, Drinking Fountain wore a plum scarf when she reunited with Melanie Bush, CEO of 24 Carat, and pitched her a business proposal to sell package holidays about Paradise Towers; only to be refused because some of the cleaner robots own homicidal tendencies. (WC: 24 Carat)
John Benton wore a camouflaged scrim scarf as a member of UNIT. (TV: Terror of the Autons, Invasion of the Dinosaurs)
Worn by the Master
The Spy Master wore a copy of the Fourth Doctor's scarf when he stole the Doctor's body. (TV: The Power of the Doctor)
Worn by Others
Petronella Osgood wore a smaller scarf of similar colouring to that of the Fourth Doctor's, which the Eleventh Doctor commented on. (TV: The Day of the Doctor)
Professor Jericho wore a scarf of rust orange plaid. (TV: Survivors of the Flux)
Sally Sparrow wore a violet and blue scarf when she lost Nightingale to Weeping Angels. (TV: Blink)
Diane Holmes wore a white scarf which she left to Owen Harper before leaving. (TV: Out of Time)
The Toymaker wore an ivory scarf up to his defeat. (TV: The Giggle)
Kate Stewart wore an ebony black scarf with polka dots during the Year of the Slow Invasion. (TV: The Power of Three) She also wore a teal scarf when dealing with Zygon rebels known as Truth or Consequences. (TV: The Zygon Inversion|The Zygon Invasion)
During one of his incarnations, Nobody No-One wore a scarf as an homage to the Fourth Doctor. (AUDIO: A Death in the Family)
While impersonating racing pilot Horation Hamilton, Zalenby wore a long leather flying coat and silk scarf. (PROSE: The Game of Death)
Rona Bellows, a wheelchair-bound grandma, wore a steel blue scarf with alabaster symbols when when dreaming she was a scientist on the North Pole during Christmas Eve and able to walk because of dream crabs. (TV: Last Christmas)
