I know a human Rufus! A good man, and a fine bearer of his name.
I like Rufus and Daphne together, but I'm not so keen on the paired -us endings on Ignatius and Rufus. In fact, I could do without Ignatius entirely - I associate it with a local sports star, now middle-aged and working as a TV commentator, who was always known as Naas. He has a distinctive way of speaking which lends itself to caricature.
Can't help noticing Daphne the Bunbun! If you're up for some more trans-species naming, what about Alec Ignatius? I think Alec, Daphne and Rufus would be lovely together.