Mistle Thrush Baby?

Last night my cat caught a baby Mistle Thrush, I’m not sure what to do with it? It’s still got fluffy feathers around its head but it is hopping around and spreading its wings! Mum/dad is still bringing it food. I was sure it would survive in the night due to wildlife, but to my delight it has! I did have it in a box but the mum can’t feed it, so I’ve taken it out the box, but I’m worried my cat will get it again!

any advice would be greatly appreciated