Speaking to BBC Radio 4's Today programme, Mr O'Donoghue said it was "an incredibly violent attack".
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.
Describing what unfolded, he said a Trump supporter got on to the reporters' platform, and pushed the camera into his colleague, before continuing to push Skeans.More news: State of emergency: Polar bears take over island - CBBC Newsround
She added: "To all those who asked after the cameraman - Ron is fine".
In freewheeling remarks at his rally, Trump also trashed the 'Green New Deal, ' but didn't single out its most prominent backer, Rep. Alexandria Ocasio-Cortez - although he bashed Democrats generally.
The video, filmed by a cameraman for the BBC, shows the moment that the Trump supporter, later said by a campaign official to have been drunk, attacked the press corps during a frenetic rally.
The American president has a strained relationship with the media, and has often branded reporting as "fake news" and stated that journalists are "the true enemy of the people".More news: Gervonta Davis retains title with first-round KO
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.
"I have been spat at before, they hurl abuse at American colleagues in particular", he added. "Here's a video of him being dragged out of press row".
"I'm very anxious that the hostility whipped up by Trump and some in conservative media will result in somebody getting hurt", Acosta wrote on Twitter.
Trump's rally in El Paso was also his first direct clash with potential 2020 presidential rival Beto O'Rourke.More news: U.S. will keep investigating journalist Khashoggi's murder: Pompeo