Christina Fonthes, 27, was visiting Kinshasa in the Deomcratic Republic of Congo with her mother and sister last month, when she was allegedly forced to stay in the country.
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Friends say her mother stole her passport and she was told that she needed to stay in the Congo until they could cure her of being a lesbian.
Her partner, BBC sports presenter Jessica Creighton, is said to have discovered the captive situation and raised the alarm.
It is understood that Christina managed to escape and get to the British Embassy, but she was stopped by police on the way to a friends and taken back to her family.
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Jessica told the Independent: "It became apparent that her family were unhappy with her decision to be an out lesbian.
"They took her passport and [were] refusing to give it back. They have said they want to keep her in the Congo and 'cure her of her gayness'.
"She managed to get herself to the embassy in Kinshasa as she was in fear of her life. They said they would process emergency travel documents for her. So we were all waiting for that to happen, two or three days we were told by the embassy.
"But officials at the embassy released her and the person who was helping her (a friend of a friend) and put them into a taxi to return back to the house where Christina had been hiding out, away from her family. The taxi was stopped en route by police officers and both Chris and the friend were arrested."
Jessica and Christina's other friends are now worried for her safety, following her return to her family.
The Foreign and Commonwealth Office told the newspaper: "We are providing consular assistance to a British national in the DRC."