Her mother said on Tuesday that the woman had been coerced into giving a false statement to the local station. A day later, the mother was reported to have been arrested.
The BBC said in a statement: “We stand by the integrity of our reporting teams.”
While Mr. Sisi has long treated Egyptian news outlets harshly, jailing dozens of reporters and blocking about 500 websites, he has generally spared foreign reporters the worst measures. That appears to have changed with the presidential election campaign.
A long list of rules announced by the national election commission in February seeks to dictate the questions journalists can ask voters, prohibits them from using photographs or headlines “not related to the topic” and forbids them from making “any observations about the voting process.”
“These rules made me laugh, and scared the hell out of me at the same time,” said Gamal Eid, a leading lawyer and human rights activist. “The rules are purposefully vague so they can decide to let their friends go, and punish their critics. It seems tailor-made for the foreign media.”
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Although the presidential vote, scheduled for March 26-28, is widely seen as a charade — Mr. Sisi’s sole opponent is an obscure politician who until recently backed him — the government has given no quarter to potential rivals.
Four serious candidates who might have challenged Mr. Sisi were sidelined, jailed or threatened with prosecution before they could even get on the ballot, and on Feb. 14 the authorities arrested Abdel Moneim Aboul Fotouh, an opposition leader who contested the 2012 election but is not running this time.
Mr. Fotouh, 66, who publicly supported calls for an election boycott, now faces charges of conspiring to incite revolt and has been placed on a list of “terrorists” linked to the Muslim Brotherhood.
Last week, 14 international and Egyptian rights organizations urged Mr. Sisi’s American and European allies to publicly denounce the “farcical elections,” but that seems unlikely. Once hailed as a “fantastic guy” by President Trump, Mr. Sisi has avoided censure from allies who see him as a staunch ally in a region awash with Islamist violence and political turbulence. Several European countries have negotiated large arms and energy deals with Egypt in the past year.
Journalists have been regularly detained and prosecuted under Mr. Sisi — Reporters Without Borders ranked Egypt 161st out of 180 countries in its 2017 Press Freedom Index — but the pace of arrests has quickened in recent weeks.
The New York-based Committee to Protect Journalists said it was concerned about Moataz Wadnan, a reporter with HuffPost Arabi, who was detained on Feb. 16 after he published an interview with a prominent Sisi critic. On Feb. 4, the journalists Moustafa el-Asar and Hassan el-Banna were detained on their way to work.
Since May 2017, Egypt has blocked about 500 news websites, including HuffPost Arabi and the country’s few remaining independent news websites.
Even one of Egypt’s best-loved entertainers has become a casualty of the relentless assault on free speech. On Tuesday a court sentenced the pop star Sherine to six months in prison over comments she made that were interpreted as an insult to the state when she suggested that the Nile River was dirty. The verdict was not final, and the singer is free on bail pending an appeal.