Bahahaha that’s adorable =)
I have 2 cats, and at first they were a little concerned when I started throwing. They got used to it pretty quick - I like to walk the dog on the cats now
If the cat is new to the home, it’s likely to be extra jumpy and nervous for a week or so, maybe longer depending on the cat’s history (one of my cats is a rescued alley cat, and it took her a good 5-6 months to get 100% used to me and my place).
I would leave some yoyos on the ground, by the recliner, so she can investigate it on her own terms. Also maybe hold the yoyo in your hand and get her to play with the string by dangling it around her.
Skitrz has some great ideas. I think dogs generally are better at forming associations between behaviors and rewards (in my experience, its way easier to train dogs than cats), but at the very least it should get her comfortable around it. And yeah I would just give it time, my cats used to flip out when I turned the vacuum on, and while they still don’t like it, they’ve adjusted.