Called it on day 1, and evidence has only piled up. Fuyu is a legit mind reader, isn't she? A literal physic. She can read others minds and thoughts, and like a succubus, she can even use that power to charm others into falling in love with her by using that psychic link. It's so obvious, and the game isn't being subtle about it at all. It was interesting realizing that magic powers actually exist in this game. Also, the youngest daughter clearly has some kind of magic power too, with how she can seemingly make people obey her at her whims. I mean, yes, MAYBE she's just playing pretend, but something tells me this "puppet" thing is no pretend.
Anyway, because of that, while I like her, Fuyu scares me. It's freaky knowing that she can literally read everyone's inner thoughts just like I can as the player. I mean, she literally just used her power to subtly warn Himiko about Mika with her thing about "not everyone is as nice as they seem" while looking literally RIGHT AT Mika as she said it. Which, yes, useful ally to have. But that kind of power to just invade someone else's mind and see all their thoughts is still scary. I have actually seen slight evidence of other girls having it too. Wonder if the incident 315 thing or whatever was connected with psychics, seeing as it seems to mostly be suspended girls who appear to have that power, though somehow Fuyu does without being suspended.
Anyway, bottom line, she reminds me of a more sane and less genius version of River from Firefly, being a mind reader and all.
edit: Good lord, Fuyu just directly reacted to Mika thinking "Go away" to Fuyu by looking right at her after she thought it and then verbally stabbed her for it. Okay, confirmed, not wondering anymore, that sealed it. She's bloody psychic, literally.
edit: And now she winked at him after he thought about spending time with her, in direct response to his inner mind. Okay, enough edits, further examples aren't really helping at this point, it's pretty much confirmed now so further evidence isn't really needed anymore.