It is similar to what was happening to football players on practice fields a while ago with some very serious results, but has generally been controlled.
On the face of it a 5 mile run is not a significantly strenuous activity to expect a D1 basketball player to have serious complications from. That it was 'timed' doesn't by itself mean anything though if it was required to be completed in an unreasonable time period that would. That it was mid-august in SC calls into question what time of day and air temperature/humidity. That the coach was pushing her isn't that surprising, and presentation of medical distress vs. physical effort is not necessarily clear. I don't know all the medical terms but the renal failure from a five mile run by an athlete sounds to me like there were some underlying medical issue present before the start of the run. A 5 mile run at a sedate pace of 10 minute miles is less than an hour of physical exertion - that is not the same as most of the football issue that involved hours of practice on a field in full pads.
As far as ambulance vs. car - the closest hospital is five blocks from the arena/locker room area which is likely the 'finish line' for the run and less than a mile from the bridge if the finish line was somewhere closer to the bridge, so using a private car was probably the fastest way to get the athlete to medical care and might have been significantly faster than getting an ambulance to the patient.
All that said - pulling the scholarship seems very strange and harsh.
