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Doc was a student and kang a high schooler.
To be a student is too much fun and kang was just a little kiddo.
Secondly we don't know how doc rejected kang.
other point is, doc is cute now and takes care of kang.
Last point Ho-yeon sucks, such a clingy guy, after chapter 12 (the sandwich chap.) he became a annoying character. Who does he think he is? To tell kang that doc was the tutor is not his fuckin business