The accused Anjali has been arrested but her husband Altaf is absconding, the police said.
According to the police, the woman alleged she was raped by Altaf, who introduced her to his wife Anjali and the couple blackmailed her and tried to force her into flesh trade.
It said Altaf had befriended the Uzbek woman on Facebook and she flew down to Delhi on May 6 after being lured by him on marriage promise.
Altaf then took her to a hotel where he allegedly raped her and filmed the act, the police said, adding that he then began to blackmail her with his wife.
The complainant confided into a friend living in Delhi and they approached at the Vasant Kunj (north) police station.
A case has been registered under IPC Sections 370 (buying or disposing of any person as a slave) and 376 (rape). A case under the immoral trafficking act has also been registered and the police are probing the possibility of a bigger racket involving Uzbek women flourishing in the area.