Chyna appears 64 times at rank 1606 on female pets. The name is almost certainly a tribute to Chyna the professional wrestler: Joanie Laurer, the first woman to compete in the men's Royal Rumble and a genuinely groundbreaking figure in WWE, whose stage name became a cultural marker for strength and barrier-breaking in the late 1990s and 2000s.
The Wrestling Origin
Chyna was billed as the Ninth Wonder of the World in WWE, an unprecedented physical presence who competed against men when women weren't supposed to. A female dog named Chyna is a dog whose owner has decided she operates by her own rules. The name sits near Ronda in the female-athlete-tribute pet name set.
Sound and Breed Fit
CHY-nah has a hard opening consonant and a clean two-syllable structure: assertive in sound as well as meaning. The name fits large, powerful female breeds. Rottweilers, American Pit Bull Terriers, and Dobermans carry the strength register naturally. The human parallel is at /names/chyna.
The Counter-Reading
Chyna's non-standard spelling distinguishes it from the country name and makes clear this is a tribute rather than a geography reference. Owners will occasionally need to spell it, but the unusual spelling is part of the tribute. It signals the wrestler, not the nation.