[Konoha's look definitely conveys that she finds that cough to be more than proof that she's right.]

If you push yourself you're just going to be sick longer. Do people not die of sickness where you come from? You shouldn't take these things lightly! Even just a fever can kill you!

[People talked about medicine, apparently better medicine than her own world had. But still- people should still be afraid of disease, right?]