What is the ruling on the delay of the emission of the "white discharge" until after the tenth day of menstruation, given that the bleeding usually stops and dries on the fifth day, and brown-blackish drops or dry, blackish-brown granules are observed after ghusl and before the emission of the "white discharge"? And what is the ruling on performing ghusl and prayer in this situation?

Purity is indicated by one of two signs: complete dryness or the white discharge (al-qassah al-bayda'). It is not required for both to be present. If a woman experiences complete dryness, meaning she inserts a cotton swab and it comes out clean, she must perform ghusl and should not wait for the white discharge, as many women do not see it. What the questioner does by performing ghusl after seeing a sign of purity is correct. The discharges she sees afterwards are not menstruation if they are not blood, based on the statement of Umm Atiyyah: "We did not consider yellowish or brownish discharge after purity to be anything." These discharges take the ruling of vaginal secretions.