What should I do if it is my turn to lead people in the Friday prayer, and I am suffering from urinary incontinence during prostration and have not yet recovered? Is it permissible for me to lead the people with this excuse if the incontinence continues after taking medicine?

If the discharge of drops does not reach the extent of incontinence, then the person must take precautions after relieving himself and wait for it to stop, then perform ablution (wudu') and pray. There is no harm in him leading the prayers. If he doubts that something came out during the prayer, he should not pay attention to the doubt. However, if he is certain that something came out while leading the prayer, he must immediately stop the prayer, appoint someone to complete it with the people, and then go to perform ablution.