I’d just put her in a bush far from the house or the cat. Cats catch birds. It’s perfectly natural.
It is cruel to bell a cat. I’d take off the bells; it makes the cat neurotic. How would you like it?
Our cats catch birds and rodents and lizards and things. It’s what they do. I don’t LIKE it and sometimes will try to set the bird free if it’s not too far gone, but that is what cats do and you need to understand that. A cat allowed outdoors will behave the way she is supposed to.
Doves are not particularly bright birds, and are easy prey.
Sometimes you just have to let the cat kill and eat the bird. It’s just part of life. I don’t mind what mine do, but I DO MIND when they bring their “catch” into the house. I am not above SCREAMING like a sissy, which I am.
My brother-in-law set up a bird feeder about a foot above and two feet away from the windowsill my cat liked to sit on. The cat thought it was an hors-d’oevre tray. He’d just reach out his paw (Maine coon cat, a BIG boy) and swat them down.