Yeah, she is an adorable little furball! Love her to death!

No, I will never say that somebody without qualifications to teach should be teaching. But as said previously, I would take a native speaker with classroom based TEFL and no degree/unrelated degree over a non-native speaker any day. They non-native speaker will always be lacking in fluency compared to a native speaker. This is for conversational classes only, mind you. Unqualified teachers have no place in real classroom settings, no matter where they're from.