Video was shared of Trump addressing the packed rally filmed by the BBC.
She added: "To all those who asked after the cameraman - Ron is fine".
Washington correspondent Gary O'Donoghue, said his colleague Ron Skeans had been filming the rally when he was pushed to the ground by a Trump supporter.
During Monday night's rally in El Paso, the President encouraged support for his proposed border wall with Mexico to protect the USA against a "tremendous onslaught" of migrant caravans, violent criminals and drugs.
Washington Examiner reporter Gabby Morrongiello, who shot video of the incident, explained that members in the press pen were trying to record a group of African-American students who were protesting Trump by standing together with interlocked hands.
The BBC reporter said her cameraman was shoved and his camera knocked over by the man who can be seen wearing a cap with the president's "Make America Great Again" slogan.
O'Donoghue told BBC Radio 4's Today programme: "It was an incredibly violent attack".
The man is heard shouting "f*** the media" before he is escorted away by the man in a black t-shirt.
'This is a constant feature of these rallies - a goading of the crowds against the media, ' O'Donoghue added.
O'Donoghue said Trump's 2020 election campaign, which he thinks has begun, will be as "hostile and ill-tempered and divisive as the one we saw last time".
Trump has been openly hostile to the press throughout his presidency - accusing them of publishing false stories on him.
The US President has accused the media of "refusing" to cover his work and openly called them "enemies".
The BBC reported that President Trump checked the cameraman and media were well with a thumbs up, and continued his speech after Mr Skeans returned the gesture.
Trump told the crowds inside El Paso County Coliseum that 69,000 people had signed up to attend.