Is it permissible to continue treatment with a Sufi shaykh who claims to know the unseen, and who embraces the female patient under the pretext that he is in the position of her father, while the patient is afflicted with black magic and the evil eye and has an aversion to marriage?

This is a charlatan, a sorcerer. It is not permissible to seek his help or to go to him. His embracing of the girl is a reprehensible act that requires repentance. His recitation of verses is a deception to create an illusion of righteousness. This person is not a friend of Allah, for Allah's friends act according to His law and adhere to His commands. She must be content with Allah's decree, be patient, entrust her affairs to Him, and strive in supplication. She must also perform ruqyah (definition) (exorcism) according to the Sharia (definition), using the Quran and Sunnah (definition), seeking help only from righteous individuals who perform ruqyah in this manner and do not commit reprehensible acts.