Their first fight huh. Well, it is to be expected, you cannot always see someone eye to eye in some things. After all, everyone has different life experiences. The parents of Sakurai sensei weren't supportive on her decision to become a teacher, even though is a respectable career. It is likely that Sakurai sensei comes from a well to do family, and consider teaching a low ranking job. Based on my own life experience, I think Tama chan is right. The student should be more serious about her future, but she Sakurai sensei is also right, doing something that you don't like/hate will just make your life miserable, even if you make good money out of it.
If the student likes medicine ( we really don't know how she actually feels about it), she could pursue that while trying her hand at youtubing. It will be really difficult, but she she could actually see, what is like.
Anyways, seeing Sakurai sensei sad is so damn sad. Tama, it is up to you to make her happy again. Just offer your body as a... Well it might be a little soon for that.
Thank you for the scanlation.