Allah will not take you to task for that which is unintentional in your oaths. But He will take you to task for that which your hearts have garnered. Allah is Forgiving, Clement.
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.