But I don´t agree with the Minotaur part = o
What if there is a Minotaur Girl (just a Girl with Cow ears, horns, hooves and a cute Cow-Tail) that can think (more or less . . . probably less . . . ) as much and effective as Ayla herself?
Okay, dude... First of all it's a cow girl, half human and half cow with human side dominating, which means, that she belongs to thinking species. Yeah, there can be a racism towards cow girls, because they have horns'n'hooves, but they're basically humans.
If you're are talking about consequence of a human breeding with minotaur and having a baby... Then it's depends on which side is dominating.
You can be stupid as a brick, look like a minotaur yet able to think, speak, count to four and understand simple sentences and that already makes you non-animal creature, so it leaves you with monster and subhuman. Why subhuman? Because, obviously, humans are dominating and any creatures lives by human rules.
I think it depends on us, on how WE make 'em
A good example is the Manga "Monster Musume" Where even a Lamia, a harpie, a centaur and Spider-Woman live together with a guy in a house because of an culture Exchange

(They mostly cause the poor guy more trouble than he deserves but still)
Same shit... They're half humans, at least from what I've seen in hentai, related to Monster Musume.
Sooo, would a Lamia Scientist still be a "brainless nonthinking beast" ?
It's still heavily depends on it's behavior and features.
Let's take Lamia as an example.
1. Lamia Scientist, with intellect and human side dominating.
He/she is a scientist, which means, that there is a whole society of either Lamias, or she lives and works in human world. You can't consider her as an animal, because she is a part of a certain society.
2. A wild Lamia, with basic needs and animal part dominating.
That's either animal or a monster. Again(!), it's heavily depends on it's behavior. If say... That wild Lamia think, knows/can learn how to talk, but still being dominated by natural instincts and can't be changed, you call it a monster.
If it's creature, that cannot do anything to think, communicate, create, sees human as a potential food or/and danger, you call it an animal.
It's quite tricky and you can talk about all day and will have many different theories.
actually where stops the part "animal" and where begins the part "Monster"?
When a Girl has the body of a Snake the waist down? Or when a Human being stops acting like a human? What factor makes a beast actually a "beast"? The appearence or the way of acting and thinking?
It can be both of the above, actually. But the first have a certain exceptions.
If Lamia is a part of human world, it communicates with humans, lives near/together, has rights and other human privileges, you can only call it an animal because of it's animal part, which would a racism towards Lamia, an insult or something like that.
Yet, still, the most powerful trait, that allows you to draw a line between human, monster and the beast is humanity, since these creatures are made in human mind. I think: it has something I do in it, some thing in us are alike, which means I can trust them to the certain level. Of course the look of the creature might scare you, for example, if you see a real Wookie, you probably will try to stay away from it, maybe observe from the distance and try figure out if there is a way to communicate.
Since all these creatures where just inventions and creations of the human mind does they really have any restrictions to rules and mater? Aren´t they rather more just restricted to our mind?
Humans are used to live with rules, laws, restrictions and shit like that, so, yeah, creatures in their mind are restricted by many things.
But then there come some Religious people and say: Look at these! These are not Human! So it is bad! Let´s kill all non human beings because only the humans are holy beings . . .
I sense a grim dark future of the Warhammer 40k.
No idea why would you bring religion in here, but, meh, whatever suits you.
Humans always has been like that . . . anyone remembers how rasistical everyone was (and still are a lot) against african who ARE in facts just Human
Still am.
So with beings that not even look exactly like human . . . it´s way easier to reject them just because they are not "human" but everyone that watched "Akame Ga Kill" Knows that even the "Human" can be "inhuman"
You don't need to watch anime to know that. Enough to just turn on the news.
Use spoiler next time.