(Moses) answered: Lo! He saith: Verily she is a cow unyoked; she plougheth not the soil nor watereth the tilth; whole and without mark. They said: Now thou bringest the truth. So they sacrificed her, though almost they did not.
Times are computed by method; your mosque's timetable governs the adhan. Every text carries its source and grade. Nothing here is a fatwa, a prediction, or a substitute for a doctor: your own scholar decides what is contested, and the tradition itself says the practice is alongside treatment, never instead of it.