It's important to note that:
* "Kaya" is a relatively uncommon name in Russia.
* It's a variation of the name "Kay" which has become more popular in recent years.
* The spelling and pronunciation of "Kaya" in Russian are different than in English.
If you're looking for a name that is more traditionally Russian, you could consider names with similar meanings to "Kayla," such as:
* "Светлана" (Svetlana) - Meaning "light" or "bright"
* "Людмила" (Lyudmila) - Meaning "people's love"
* "Елена" (Elena) - Meaning "torch" or "light"
Ultimately, the best name to choose is one that you and your family like best.