These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Base Breaker: Arguably, Chisato Hanada is this. She's nice, she cooks, and is even willing to put up with everything the male says. The perfect woman, right? Not to some fans. As a result of this, some say that she's completely boring; making women, as a whole, look submissive and weak. What's more, many readers have interpreted her relationship with Terumi as taking her first steps in becoming a slut.
Dude, Not Funny!: The Asahi Momozono conquest chapters which have several questionable occurrences that could be illustrated as Terumi attempting to rape his cousin.
Chuujou Tsukasa is this for some fans. Despite her arc only being a means for Terumi to get over his past fear, she has already made an impression amongst readers and some are hoping that she would play a much larger role in the plot other than being an antagonist. Some are even saying that she hook up with Terumi by story's end, as that would be delicious irony for her to end up with the man she bullied and the fact that Terumi and her share some similar qualities.
Fan-Preferred Couple: Seeing as how this is a series where the main character gets it on with a large variety of women, there are sure to be MANY of these.
Terumi and Hanada was seen as such a lovely Moe couple to some readers that people wanted Terumi to just ditch the whole Tale of Genji experiment for her.
Terumi and Tsukasa is also popular amongst readers; thinking that it's poetic irony that the girl who previously bullied Terumi ends up falling head-over-heels for him.
Launcher of a Thousand Ships: Unsurprisingly, Terumi Minamoto is this. Not only is he set to have new ships with up to 14 different women for his Tale of Genji objective, he is also shipped with people who aren't even established targets.
Les Yay: Rokujou gives this impression to Tsukiko, Asahi and other girls at the university due to hailing from an all girls university. It would actually start making sense as to why she's so interested in Terumi in the first place...
Kaoruko offers the opportunity for a steamy kiss to ensue between herself and Yuu. It almost happens...then Yuu vehemently puts a stop to it, saying that they're both women and can't be doing that sort of thing. Cue the collective groan of the audience.
Magnificent Bitch: If only we knew Kaoruko's motivations for recreating The Tale of Genji in real life...
The thought of Terumi doing something remotely sexual with Kowaka Shian, who is 10 years old, is going to raise a few eyebrows. Viewers will have to trust in what Kaoruko is doing.
Will They or Won't They?: Watching Terumi feel more and more comfortable around Kaoruko, and Kaoruko showing she cares for him after all, even if only for the sake of her research, does seem to imply they are slowly heading towards giving into incest for real.