I can accept her hunting and killing but I won't let the little critters scream and shake in terror while my cat slowly plays with it.

i no it can be tramtziee for us as welll pooor preyss thy kill i no wen i had lucy way she tomrmet pooot mousesss thn brakin poooor thngs nec thn prengnett mouseess she lft eyess wid oeb openn

thn lst yr my 2 cats wen thy wear kittenss betren thy thy killedd a mouseess it got in my homee thy did suckd lifee frm it

Fortunately, I was able to pick some of the mice up and put them out.

While the poor mice and birds have my compassion, I can't stop "my" cat from hunting. It is in his nature and instinct, and whenever I see him with prey and come too close he begins to growl. He is so fast, I wouldn't have a chance to interfere anyway.
At least, he only tried to bring a mouse or bird into the house two or three times so far.