Not directly I don't think but ferrets were used for hunting so Artemis would probably be the most appropriate.
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No: they had handmaidens and attendants to help them, usually other Greek gods and goddesses.
Yes. In fact most of them were related in some way
Isis
The Muses are not reported to have any "weakness" in Greek myth, being that they are Greek goddesses.
some are more important because they have more meaning to life and they were created and first discovered before any of the other less important gods and goddesses