I found her and her people worshipping the sun instead of Allah; and Satan maketh their works fairseeming unto them, and debarreth them from the way (of Truth), so that they go not aright;
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.