Of Greek origin and meaning “Lord.” And seeing as your little Kyree will make you say “Oh, lord” to yourself on plenty of occasions, this seems pretty fitting.
Ky. Or Ree.
Famous people named Kyree:
None with this spelling, though similarly-spelled basketball player Kyrie Irving comes to mind.
In the Valdemar Trilogy by Mercedes Lackey, the kyree are an intelligent wolf-like species that grow to the size of a horse.