
When naming your female cat, the most important thing is that the name suits their personality. There's no point in calling your extremely loving, would-never-hurt-a-fly kitty something like "Demonia" or a hairless cat breed "Fluffy". Unless you really love irony.
Often cat names are inspired by a feature of their appearance: Amber or Emerald after the color of their eyes, or Tabs for a tabby cat.