Is what the girl who suffers from obsessive thoughts (waswasa) does with pre-seminal fluid (madhy) correct, and are her prayers valid, knowing that its emission nullifies wudu', and that she finds a trace but does not know if it is madhy or water from istinja'?

"Disregard these whispers (waswas) and pay them no mind, for indulging them leads to great evil. Do not judge that pre-seminal fluid (madhy) has exited unless you have certain, firm conviction of it. Without this conviction, the default is that it has not exited, and you are not required to investigate. Rather, maintain the original presumption, which is that nothing has exited from you."