Kotoura's psychic powers are, at least in part, a metaphor for social/developmental disorders.This theory comes from this comments section, and was written by the user kotomikun.
There's a lot of evidence for it, especially in the prologue that was dismissed as melodramatic "emotional manipulation" by many people. Everything that happens to the younger Kotoura is familiar to socially disordered people, if not to me personally. Being abandoned by your friends because you said rude or disruptive things and couldn't understand why it was wrong, being dragged around to clueless doctors who can't really help you, getting attached to animals because they aren't assholes like most people seem to be but then they suddenly die or run away because animals do that...all of this is depressingly realistic, and hit very close to home for me. Parents irrationally blaming the disabled kid for their own problems is also very common, though it didn't happen to me (much).
And there's the usual "being an outcast" tropes that Kotoura and her real-life counterparts also deal with: bullying, rumor-mill victimization, etc. Kotoura's interceptions of people's hateful thoughts about her is, like the rest of it, a supernatural twist on a real phenomenon.
Finding a group of real friends who accept her abnormality is probably the most unrealistic part, from my point of view; but it's not impossible, and it's...cathartic, I guess.
Kotoura-San's father is a bigger Jerkass than the motherYou know, I've thought about it, and for as much hate as Kotoura's mother gets, I see very few people talk about her father. Even before the reveal of their cheating he wanted no part in trying to figure out Kotoura or help Kumiko. He relegated it as "woman's work" and started rarely coming home. At least Kumiko tried to help Kotoura at first, even if it broke her in the end.I don't excuse Kumiko's actions, but perhaps she wouldn't have been driven to the breaking point if her husband wasn't all, "Not my problem, bitch." This is why we see Kumiko again in the series and why she gets a bit of vague closure on her relationship with Kotoura, while the father is never seen again after the first episode.
Haruka Kotoura's is a mutantHaruka is a mutant in an Alternate Universe, where the existence of mutants didn't became public knowledge. Sometime later, she'll be picked up by Professor X and become a member of the X-men. If Yoshihisa Manabe is still her boyfriend by then (youth romances rarely last long), he'll follow her to the US and enroll at a local high school near Xavier's place and will support the X-Men in general and Haruka in particular.