I think I would keep an eye open for illness, but I do think it is not likely that your kitty would "get something"..... Much to my dislike, cats nab birds all the time and eat them. I think its called Mother Nature and the Food Chain! Not my style of fun for pets, but pets often think differently.

I would wash the feathers first, the next time....just to be on the safe side.

Many diseases do NOT transfer between species. Many is the operative word. Some do.

Have you tried doing a little Google search on the topic?

I love your photos of your girls. You have such a great camera and terrific photography skills.