Seo is his name, and unless I missed it earlier (which is entirely possible) this is the first time we’re hearing of it. The two of them managed to make this a fun date for both pairs, even though neither of them knew it would be a doubles thing. Amane realized that Ijichi would probably go on the offensive, so she took the initiative when the opportunity presented itself. Because of that, Amane is now in the lead when it comes to getting close to him.
Seo is coming to her house, Ijichi can’t say she managed to get that out of this date. Amane pushed through her comfort zone, showed initiative, and got what wanted in the end. It’s hard to do, and it’s fairly rare to see in manga, but Amane managed to pull it off on their first actual date.
Props to her, she’s probably read a lot of manga where situations like that arise where neither side makes a move, and she knows that if she follows suit, she won’t be getting anything out of it aside from the experience. Now she has something concrete, something to work with, if she can pull it off properly she should be golden. Hell she should be able to get into a situation in which Seo will both recognize her in a romantic sense, and be willing to become a couple.
Now if Amane will have the courage to pull that off is another thing entirely, let’s not forget she’s an otaku too, and she has trouble communicating as well as expressing her emotions. She’s called the ice queen for a reason, it’s entirely unintentional on her part, but it’s still something that happens because of her inability to properly communicate her emotions to others.