yes i do feel sorry for animals and even some humans when i see them in troubling situations. then i realize that pain and suffering and being killed or murdered or eaten is a part of the natural order of being alive on the planet earth. it has been happening since life began and it will continue to happen. i then accept it and move on. if i see you sad and upset it will affect me but then i'll accept your pain as the normal course of being a human.
if you are well informed about human suffering you'd cry yourself to sleep if you don't have this attitude of acceptance.