As I said in this comment here -->
[link] it is the fact that our society is so divorced from our food that people view sacrifices as evil when they are not. I was raised with quite a mixed bag of things: My mother is Southern Baptist and she also raised me with our Cheyenne heritage beliefs, my parents took me to Black Powder Rendezvous and I grew up going to Pow Wows. We had friends who had working animals such as horses, dogs, and cats, as well as food animals like cattle, chickens, and rabbits. I knew very well where my food came from and how it gets from the pasture to the table, every stage of it. As an adult I got into Midieval Recreationism and while at a demonstration event, I was utterly shocked to see a 10 year old girl standing there with a horror stricken look on her face when she was told (by someone in character) that the meat being prepared came from a cow that was no longer able to produce milk. **facepalms** It was then that I realized how blindly segrigated from our food sources we have become as a society, slowly brainwashed into obedient unthinking sheep following what authority figures tell us and forbidding us anything that is not on their "approved list".
Offerings are things we give that are part of daily life, such as a plate of food, a poem or prayer we wrote, incense, stones, and similar items. Sacrifices are things we give that come at a cost to us, such as money or an animal. Offerings and sacrifices are both equally important and both must be carefully prepared and kept sacred for their intended purpose. An animal sacrifice in my mind is where a cherished animal, usually a prized and well cared for food animal, is gently taken, prepared in ritual, quickly and cleanly killed, its blood gathered in a special vessel and placed upon an altar for the ritual, then its meat carved and cooked carefully and with deep prayer for a ritual feast, then its hide is specially tended and tanned for ritual purposes (from use as an altar covering to being made into ritual garb, medicine bundles and shields, and other sacred items), and the bones carved and made into ritual tools and fetish items. Thus unlike a general food animal killed for every day purpose, the sacrificial animal is exceptionally well cared for, protected from injury, illness, and parasites, and kept as clean and well tended as possible for the life of the animal to keep it pure and suitable for the sacrifice. This was done in biblical times as well as long before Christianity came into being, and it is the right and proper way to do it.
Now that is not to say that other animals are not well cared for, only that the intended sacrifice is given extra special care to keep it as clean and pure as possible, literally over and above what we do for our so very important food animals and our beloved companion animals, or even for ourselves. The word sacrifice should not be treated as a dirty word, but treated as it should be, a word for a sacred act that is over and above our daily or weekly offerings.