Teapot
A teapot was a pot used to prepare tea. When Professor Litefoot attempted to educate Leela on the etiquette of tea, the Fourth Doctor told her that the only thing she really needed to know was how to heat a teapot. (TV: The Talons of Weng-Chiang) George Orwell's eleven golden rules for making the perfect cup of tea included using a teapot made of china or earthenware. (PROSE: Separation Day) A teapot could also be used to serve tea, and would be refilled once the tea inside had been drunk. (PROSE: Mrs Acres)
History
Trevor Ramsbottom found an "ominous" teapot on an archeological dig in 1973. (AUDIO: The Land of Wonder)
Craig Owens owned a royal wedding teapot, which the Eleventh Doctor used to mix a remedy to cure the enzyme decay in Craig's body. (TV: The Lodger)
The Thirteenth Doctor used a teapot to serve tea to Team TARDIS and Leon Perkins. (COMIC: A New Beginning)
An incarnation of the Doctor wore a badge shaped like a teapot. (COMIC: Party Animals)