I would have mentioned, “greyhounds are extremely calm, quiet animals. My girl is a great example of why the absurd muzzle law was changed. Poorly trained dogs of any breed may bite, but it’s rare for greyhounds due to their gentle nature. My girl is very well-behaved compared to other dogs we come in contact with, plus your comments are incorrect and based on old lies and myths.”
This a bit wordy, but my point is that it’s not rude, counters some of her inaccurate statements and focuses on the good behaviour demonstrated by your girl. Plus you could laugh and say greyhounds are smart enough to know the difference between a dog and a rabbit.
btw, your English is great and so we’re your responses. Hope this helps!