Fox

Foxes were small mammals, abundant in the United Kingdom and other places on Earth.

They were famous for being the object of hunts held in Britain that were both sport and aristocratic tradition. During the time of the Third Doctor's exile on Earth, the Bristol police were once forced to keep the peace between fox hunters and those opposed the practise. Because of the high tensions between the groups, the police had a difficult time of it. (PDA: Rags)

Much later in the Doctor's life, Hex, Ace and the Seventh Doctor found stuffed foxes in Joe Hartley's taxidermy studio. (BFA: Night Thoughts)

Cultural references to foxes
Foxes were commonly used in the names of pubs and inns in the United Kingdom. For instance, the Fourth Doctor, Harry Sullivan, Sarah Jane Smith and UNIT used the Fox Inn as a temporary headquarters in Scotland while dealing with the Zygon threat in Loch Ness. (DW: Terror of the Zygons) Equally, the Fancy Fox was a pub that Amy Pond, Rory Williams and the Eleventh Doctor used as a kind of base while on an adventure in the town of Foxton. (NSA: The Way Through the Woods)