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superdoofus
The girl he's practicing 2x a day on (Izumi) hates his guts. The class knows everyone in her clique (the guy he beat at vidya being the center of the clique) has a low opinion of him. The class also knows that MC is a loner. Additionally, the "main target" (Kikuchi), is also a loner. Whatever enmity he earns with the "big bad" normie's clique can't possibly get worse as long as he doesn't come off as a total stalker. Any rumors they spread also aren't likely to reach Kikuchi either, since she's got a fatal case of no-friends.
Despite Izumi not liking our MC, she's a nice enough girl that she'll politely humor any attempts at conversation, but probably isn't keen on actually having any extended interaction with him. In chapter 2, she pretty much ditches him the second she hands him the tissues, and throughout chapter 7, she basically doesn't seem pleased with any of his topics until
he says the name of the guy she happens to have liked since childhood. But all in all, this is just a training exercise to prep him for Kikuchi, so don't look too hard into it.