The court fixed 12 January for the next hearing, said court inspector Nazmul Quader.
Earlier on Tuesday, Anisa was arrested from a rented house in Beacon Mor area of Rangpur city.
Officer-in-charge of Kotwali police station (investigation) Hossain Ali said RAB members detained Shahrukh Karim Anik, 34, and his wife Asmani Akter, 24, on Sunday night from their house in Grand Hotel intersection area of the city on charges of extorting money from people and torturing them.
Kaniz Fatima Anisa's name came after the couple gave confessional statement to the court.
Later, she was arrested from a house in Beacon area around 5:30 pm on Tuesday, he added.
Assistant director of Rangpur RAB-13 Mahmud Bashir Ahmed said in a press release that Anik and his wife along with some others used to target people and develop intimate relationship with them.
They used to take their obscene photos tactfully and extort money by threatening them of spreading the photos on social media.
Following a complaint, RAB-13 members conducted a drive at Grand Hotel intersection area of Rangpur city on Sunday night and detained the couple, added the release.