What should a female patient suffering from irritable bowel syndrome and hemorrhoids do when she spends a long time in the bathroom due to gas and hemorrhoids, feels a recurrent urge to go to the bathroom during ablution, which makes prayer difficult for her and delays it, and she does not know when the state of impurity will cease so that she can perform a proper ablution?

The Sharia (definition) came with ease and the removal of hardship. If wind exits involuntarily and continuously, your ruling is that of a person afflicted with سلس (incontinence). Therefore, perform ablution after the time for prayer has begun and pray with this ablution whatever obligatory and supererogatory prayers you wish until the next prayer time begins. You must abandon obsessive thoughts and pay no attention to them.