In summoning the Zodiac members to the annex, Akito intends to gradually isolate Tooru, the “Ugly Girl” with whom Akito locked is in a one-sided competition. Tooru isn’t trying to take anyone from Akito, just get along and help out with their problems if she can.
Of course, simply by existing and being kind-hearted and caring, Tooru is an affront to Akito’s authority as “god” of the Zodiac. The members and their souls are Akito’s property. To put it crudely, Tooru is fuckin’ with Akito’s shit, and Akito will only tolerate it so far.
All we know is, none of the Zodiac members dare oppose Akito…except for Yuki, who thanks to Tooru has developed a more rigid spine and thicker skin. Tooru is worried about what Yuki said to her on the beach, especially the part spoken in such a “quiet voice” she couldn’t hear it even when she strained to do so.
The next day Yuki apologizes for making her worry, but won’t apologize for the kiss. In exchange, he’s fine with her forgetting everything he said, but she won’t. What was said (what she heard anyway) was important, after all.
Kyou is a little different in that he’s no so much in open rebellion against Akito as simply not worth Akito’s time or trouble, being the Cat and all. It’s because of this Akito doesn’t summon him, allowing him to continue hanging out with Tooru. What Akito doesn’t realize (at least until witnessing the two having fun on the beach) is that as long as Tooru has Kyou, she won’t be lonely and miserable, which is what Akito wants.
Previously, Akito assumed Kyou was a monster who even Tooru couldn’t have fun with, but Akito is ignorant to just how much growth Kyou has gone through. Rather than be tight-lipped about his rosary, for instance, Kyou tells Tooru how it’s made of bone and blood of “some great monk”, making it a constant reminder that someone was sacrificed so that his true form could be controlled. Just telling Tooru this, and letting her comfort him, is immense growth.
Meanwhile, someone who is clearly not only an emotional prisoner of Akito but of her own emotional complexes is Isuzu AKA Rin, whom Tooru finally meets by chance while chasing down a sheet.
She meets Rin in her Horse form, as Rin is exhausted from walking to the beach. In the cold open we see she’s crashing at Kagura’s house, but like virtually everyone else she has no intention of letting anyone know about her desires or problems.
Despite being exhausted, Rin transforms back into human form through sheer willpower after nearly kicking Tooru’s head in as a horse. She takes Tooru’s change of clothes, but otherwise doesn’t give her the time of day, and not-so-kindly asks Yuki to butt the hell out of her business. Seeing her as she is now reminds me of much earlier versions of Yuki and Kyou, but without the slightest interest in knowing Tooru.
When Rin calls Yuki Akito’s toy and Yuki doesn’t so much as flinch, it angers her even more, and she storms off in a rage, later stomping the sand castle Tooru and Kyou built. Yuki assures Tooru he’ll take care of Rin, but for now has to return to the annex from which he snuck out. He’s continuing to play Akito’s game, even as Akito’s hold on him is diminishing by the day.
But now that Akito has seen how well Kyou and Tooru have gotten on, which means a new avenue for antagonism. Thus Akito finally orders Hatori and Shigure to summon Kyou, in an effort to complete her isolation. Shigure is excited at this development as it no doubt fits within whatever twisted scheme he has, while Hatori is not amused.
As for Kyou, he has no idea what’s coming down the pike. Yuki warned him not to risk hurting Tooru by being too impertinent if and when Akito summoned him. Hopefully he got the message even though he hates the messenger…