Zsa appears 59 times in the registries at rank 1733, strongly female. This is almost certainly an artifact of truncated registration: Zsa Zsa, the glamorous Hungarian double-name made famous by actress Zsa Zsa Gabor, being captured with only the first element. The standalone "Zsa" is not a functional standalone name in any tradition; it's always the first half of the pair.
The Zsa Zsa Gabor Effect
Zsa Zsa Gabor was a Hungarian-American actress and socialite who became famous as much for her personality and marriages as for her film work. She cultivated a persona of extravagant, unapologetic femininity that has made her a lasting cultural touchstone for a specific kind of flamboyant glamour. Animals registered as Zsa Zsa are almost always tributes to that persona. Gabor occasionally appears as an alternative register choice.
A Likely Paperwork Split
The 59 Zsa records most plausibly represent pets whose full registered name is Zsa Zsa, with the registration system capturing only the first word — a common issue with hyphenated or space-separated double names in municipal databases. If you're considering this name, register the full Zsa Zsa to avoid the same truncation issue.
Counter-Reading
Zsa as a standalone is genuinely incomplete — it would require constant explanation and completion in any verbal or written context. As half of Zsa Zsa, though, the name is fully coherent and communicates its glamour reference with total clarity.