There are cases where animals more or less do offer themselves up as food for others, for example in cases of
sexual cannibalism, perhaps most famously demonstrated by some species of praying mantis. So, such behaviours do exist in nature and so if the point of animals is to be our food, why don't they offer themselves to us? If God created animals and that their function really is to be eaten by us, I believe they should behave accordingly and not try to get away when we want to eat them.
For a deer to run away from a starving hunter is like the deer defying God's intention after all. Is it a sin for a deer to run?