Akira starts to understand that she wasn't really thinking about Rin's feelings and only about her own, while Miyuki started out doing the same, but then learned more about Rin's past and empathized with her, feeling genuinely bad about selfishly asking her to teach her to kiss, though, by that time, Rin was wanting to continue the lessons herself, whether Miyuki realized that or not.
I'm curious to find out what Rin's take on things will be when she finds out that the girl Miyuki was pining for all along was actually Akira and that Akira was really trying to stop the "kissing lessons" because she has unrequited feelings for Rin. Will she feel betrayed by Akira? Will she feel like Miyuki should have told her about Akira when she brought up her name? I'm actually really surprised that Rin hasn't put two and two together based on the fact that Akira is a star of the basketball team and Miyuki plays basketball as well and it was a senpai on her basketball team that she was in love with. (I'm pretty sure she mentioned that part... and that they were going to be playing basket ball on their "date" earlier in the manga when Rin helped her pick out clothes for the non-sports part of the date and then came to tutor her and found her in her room crying in her underwear...)
I suppose there are other first-year basketball players that went to Miyuki's school and are going to Rin and Akira's school, but Akira is the obvious choice. I suppose Rin doesn't pay that much attention to sports?
In any case, I loved the way the end of this chapter unfolded, with Akira's first "lesson" with Miyuki turning into a serious kissing lesson for Akira instead. Based on what we've seen in the manga so far, I would guess that this might have actually been Akira's first kiss and she was completely BSing about her having any ability to teach anyone about kissing, just like Rin was at the beginning. Miyuki and Rin have learned together quite well and Miyuki has extra motivation. I'm glad that Akira didn't take forever to figure out that she is the one who Miyuki was trying to become more mature to impress.