Is a person considered impure and their prayer unacceptable after cupping due to blood discharge and the inability to wash the cupping site until after 24 hours, given that the area is medically sterilized?

Slight bleeding from the site of cupping is forgiven by the four madhhabs (schools of thought). The limit of slight bleeding, according to the Malikis and Hanafis, is the size of a Dirham Baghli (a specific coin). According to the Hanbalis and Shafi'is, it is whatever is customarily considered slight by people. As for copious bleeding, it is forgiven by the Shafi'is. For the Malikis, one simply wipes the blood and prays; one is not obligated to wash the cupping site until able to do so.