What is the ruling on the prayers of a woman who had a wet dream and thought it was discharge (madhiy), and she neglected to research the matter and did not perform ghusl, and she does not know the number of prayers she needs to make up because she does not remember when she performed ghusl after menstruation?

The woman mentioned is not required to perform ghusl (definition) unless she confirms the discharge of semen due to a wet dream. If she confirms the discharge of semen and performs ghusl due to the cessation of menstruation, this single ghusl suffices for both menstruation and janabah (definition). In the event that she must make up prayers due to her ignorance of their number, she should continue making them up until she is certain or it is highly probable that her obligation has been fulfilled.