Are the Fajr, Dhuhr, and Asr prayers valid, given the doubt regarding the transfer of impurity from the urination cloth, and the doubt regarding the nature of the secretions (madhiy or vaginal discharge) found after the prayers?

The sister who asked the question must ignore the whispering [of Shaytan] and pray without repeating the prayer, no matter how much Satan whispers to her that it is invalid. She should also not pay attention to doubts about impurity, for the default state is purity until certainty of the opposite is attained.