My prediction:
1) Akira goes to Mayuki and tells her that she has found about the kissing lessons with Rin. She says that she will be the one giving Mayuki kissing lessons from now on.
2) Mayuki totally freaks out -- because Akira is the one she loves, and she wanted to become a good kisser for Akira's sake! But since she can't bring herself to admit that, she accepts Akira's suggestion.
3) Akira has actually never kissed anyone in her life, and doesn't know the first thing about how to teach kissing. Thus, when the lesson starts, Mayuki (who has become pretty good thanks to Rin) ends up being the one giving a very thorough kissing lesson to a dumbstruck Akira.
4) The karmic retribution delivery boy says: "Miss Akira? One large order of humble pie for you!"
I believe this is how it's going to go.