Well in Malaysia, the country where I'm from, the school mostly don't deal with your shit or any sort of sickness. You just call your parents telling them that you are sick, sign a leave form, and you are off to a clinic. The clinics in schools are only there to either fake your sickness so you could lie down in bed and doze off for the rest of school, or provide vaccine shots, which they would do every year or so.
But one of the high schools I attended, there was this awesome Indian doctor in the school clinic, who also teaches Science and Math, and it would operate like an actual fucking clinic, which was amazing for the school. He was also well respected.
In short, replace every fucking school clinics with actual doctors with working experience.