Excepting those of the idolaters with whom ye (Muslims) have a treaty, and who have since abated nothing of your right nor have supported anyone against you. (As for these), fulfil their treaty to them till their term. Lo! Allah loveth those who keep their duty (unto Him).
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.