What are the rulings of ritual purity concerning madhy (pre-seminal fluid) for someone who does not feel its discharge until some time after an erection, and how should one deal with doubt about its discharge or its location on clothing and the body? What is the nature of washing (ghusl) and sprinkling (nadh) in this case, and how should one dispose of the impurity, taking into account the difficulty of avoiding urine splashes?

Erection alone does not invalidate ablution (Wudu'). Al-Madhi (pre-seminal fluid) is a thin, whitish, sticky fluid that exits due to arousal, but not with lust or gushing, nor is it followed by detumescence. Sometimes, its exit may not even be felt. If it is your habit for this fluid to exit, then you must investigate before performing ablution, and you should sprinkle water on the part of your garment that you believe has been touched by al-madhi, based on the saying of the Prophet (peace and blessings be upon him): "It suffices you to take a handful of water and sprinkle it on your garment where you think it has touched it." Sprinkling it with water is sufficient, though washing it is more cautious. What has been touched by al-madhi on the body must be washed. The default state of garments is purity, so their impurity is not to be judged based on mere doubt. We advise the questioner to abandon obsessive thoughts (waswasah).