How can you say flattened one time, and a bump the next??
If it was indeed a bump, fine. But a bump doesn't make a cat bleed from the nose and mouth. I still don't believe after what you said that she's fine now.
If you say they are YOUR cats, even though they are outside, that means you're responsible for them. If you or anyone else don't want to be responsible for their 'farm cats' then you need to take them somewhere that someone will care for them properly.
And don't even compare it to birds or mice. Not the same.