No, it's not that Kin doesn't want Alyosha to know about Ryou. But Ryou asked Kin to keep their conversation a secret. Kin is in a dilemma, she feels sorry for Alyosha but doesn't want to break her promise to Ryou.
"Err... That... I was talking to my friend. Yes, to my friend. She was so annoying, back then when I needed her help she didn't really care about me. Now when she needs my help she calls me. forced me to help her," said Kin. He must be lying.
Alyosha stroked his own chin, while listening to Kin's narration he thought about the person who annoyed Kin. Moreover, according to Alyosha, Kin is quite patient.
"She must be a very annoying person," said Alyosha. "You are a very patient person. If you want, I can make that person regret what she did."