MIAMI — President Donald Trump must sit for a deposition by Dec. 11 in his $10 billion defamation lawsuit against the BBC, a federal magistrate judge ordered Thursday. The deadline could be extended, but the judge warned that continued failure to follow court orders could put the case at risk of dismissal. U.S. Magistrate Judge Enjoliqué Lett said she was not convinced Trump’s lawyers had made a thorough search for records related to a Jan. 6, 2021, speech. Trump alleges the BBC distorted the speech through its editing of a documentary that aired in the United Kingdom in 2024. “It just strains credulity that there has been a thorough search,” Lett said at the hearing. She added that she did not find the plaintiffs had met their burden. The order places Trump, who had canceled a scheduled deposition, under a court-set deadline to answer questions as the case proceeds. Lett’s warning also makes clear that the dispute is not limited to the merits of Trump’s claims against the broadcaster: compliance with discovery requirements could determine whether the lawsuit moves forward.