If you want to be disgusted by Red Meat to lower your consumption of Red Meat, just think that Red Meat is red because it is full of Blood, disgusting idea isn't it?
Wrong,
Red meat is not red because of blood but because of myoglobin. Which, similarly to red blood cells carry oxygen. But this is not blood, it's muscle cells.
Eating blood is forbidden in the bible, eating meat however, is not.