Is it obligatory for a girl suffering from scrupulosity (waswas) to wash her pajamas from madhi before every prayer, and what is the ruling on delaying her prayer due to the difficulty of washing her clothes outside the home?

The cure for whispers (waswas) is to ignore them and not pay attention to them. If you doubt that pre-seminal fluid (madhiy) has been discharged, do not pay attention to this doubt. Do not wash anything from your clothes or bedding merely because you suspect they have become impure. Rather, build upon the original principle, which is purity, for impurity is not ruled upon by mere doubt.