Tin foil hats were a type of hat which, according to Lucie Miller, were "not a good sign at all". Tom Cardwell wore a tin foil hat. The Eighth Doctor naively supposed it might be the fashion at the time on Red Rocket Rising. (AUDIO: Blood of the Daleks)
Tin foil hats were associated with conspiracy theorists in particular. On one occasion in 2006, Blon Fel-Fotch Passameer-Day Slitheen assumed that Suzie Costello was one, and asked if she had a tin foil hat. Suzie, indignant, responded that "I really don't have one." (AUDIO: Sync)
In 2050, Starkey, Alistair Gryffen and Jorjie Turner made use of tin foil hats to protect themselves from the Bodach's psychic energy. Darius Pike neglected to wear his, allowing the Bodach to send him to sleep and control him into giving up one of the Eyes of Oblivion. (TV: Dream-Eaters)