The setting of the story is similar to a 1970 to 1980 Earth.
There is a special faction of people, and we call this faction A. A looks human, but has animal ears and tails (in the sense of if you ignore the animal ears and tails they look exactly the same as human). A have the strength of animals, wisdom of human, and are all good looking females. They are also mentally incapable of being "not good people"--like harming others for individual selfish gains or discriminating against others.
The most special thing about A is that their birth is completely random. There is no way to predict whether the baby is going to be an A before birth, even with an ultrasound. And the chance of them being birthed is very low, so their population compare to human is about 1: 100000 in 1980 and spread around the world.
Ever since the start of the industrial revolution, machines have made the muscle powers of A irrelevant, and their power is viewed as a threat to humans' job security and ego. During WWII, the Axis power persecuted A, either through death camps or forced them to fight invasive wars. However, due to some handwaving, WWII ends earlier with Allied victory. But the ideology that A could and should be discriminated still exists within some Allied nations. But outright banning them from becoming workers or farmers, or intellectual position, or even doing eugenics to remove A from newborns would be a no-go even for the most diehard racists. What kind of discrimination policy would the politicians of these nation enact to make the life of A miserable, yet word-for-word, did not resemble any of the Nazi racism policies?