Amazing you got that all on photo!
But I too feel sad for caught animals. It’s difficult sometimes, because of loving and feeling for all animals.
There’s a neighbour tabby who is an avid hunter too, and she caught mice and insects. I haven’t seen her get a bird yet, but it probably happened. That’s why I put my bird feeder on our balcony. I used to have it in the bushes in the garden.
Hope you have a lovely Caturday!