Well, the main character/heroine is not the villain, the prince is, so this manga's title makes no sense.
The plot is super convoluted. The heroine/princess meets a prince at a ball, and in that moment her body reacts with recognition. Why? Because...as I understand it?...in that instant when she met him, she became the reincarnation of another princess whom the prince will betray IN THE FUTURE, his younger cousin.
???????
It makes no sense. lol But the gist is that heroine ("villainess") decides to pretend to be a tutor to the younger princess (who is alive and well), to ensure the prince does not betray/kill her.
I love the heroine's personality. She is an incredible swordswoman, bodyguard, and mage. And she's sexy as hell, inadvertently seducing a maid with her damsel-rescuing skills. XD So there was a fun bit of sapphic content. But she has a darker side, a reincarnated princess who is attracted to a prince who happens to be her cousin and future murderer.
The prince character feels very rapey at this point in the story. He keeps doing that creepy thing predators do - standing SUPER close to the heroine so their chests practically touch and she has to look up to meet his eyes, but she's always pinned to a door or wall and can't get away. Omg, that grosses me out so much! I have a suspicion he'll turn into her love interest and turn out to be a good guy in the end, though that's hard to imagine right now.
A light novel series came first, and I wonder if the expanded story makes better sense...or if it really is just a heap of nonsense. But it was kinda fun when the predator prince wasn't on-page, and it's free on Hoopla in the USA right now, so why not.