Isabel dos Santos said she had been chosen to lead Sonagol because of expertise and competence, and dismissed criticism as "political games" being played ahead of elections, the agency quotes her as saying.
Last month, the Angolan Supreme Court asked the president, who has ruled since 1979, to respond to a complaint filed by a group of lawyers who questioned the legality of the appointment.
Angolan news site Rede Angola has reported that the deadline passed on Friday and he had not yet replied.
Isabel Dos Santos became chair of Sonangol's board of directors in June after the entire board was sacked by her father in April.
She has been named by Forbes magazine as Africa's wealthiest woman, worth an estimated $3.3bn (£2.3bn).