What is the ruling regarding a woman who doubted nocturnal emission and the presence of semen, then prayed and performed ghusl and repeated the prayers, and feared contaminating the swimming pool with water, then performed ghusl from the pool water due to her fear of her body becoming ritually impure, and made sure her family performed ghusl from the pool water out of fear of their becoming ritually impure?

If there is doubt about a discharge, whether it is semen or something else, a woman may choose to apply the ruling of either. If a woman performs ghusl (definition)—assuming it is semen—in a small amount of water, this water does not become impure, because a believer does not become impure, and a pure body does not render pure water impure by contact. Therefore, you were not required to repeat the ghusl, nor to ask your family to perform ghusl.