Tory sits at an interesting intersection: it's a diminutive of Victoria and Tori, a fashion industry reference (Tory Burch), and a British political term — none of which probably explains most of these 37 registrations. More likely, Tory lands in the pet registry because it's a short, bright, friendly name that sounds good on a female dog without requiring much cultural justification.
The Fashion Name Reading
Tory Burch's cultural footprint in American women's fashion gives the name a specific owner-type association: the well-dressed, design-conscious dog owner who follows trends and has opinions about interiors. A small, stylish female dog in an urban apartment setting fits this reading well.
The Victoria Diminutive Path
Tory as a nickname for Victoria (or Tori as the more common spelling) connects it to the longer, more formal name — Victoria is itself a solid pet name. Owners who want the warmth of a nickname without registering the nickname may go full Victoria; owners who want the casual version skip directly to Tory.
Sound Fit
One syllable with a strong opening — TORE-ee calls cleanly. Works well on quick, alert dogs: Jack Russells, small hunting breeds, any female dog with more energy than her size suggests.
The Counter-Reading: Spelling Variance
Tory or Tori — the two-letter difference creates constant low-level confusion at the vet and dog park. Neither is clearly dominant. Pick one and commit.