The culture secretary made the admission as she launched a blistering attack on Tory MP Jeremy Hunt.
The former health secretary and influential backbencher is rumoured to still hold leadership ambitions.
A host of Conservative MPs are likely to throw their hat into the ring if the prime minister loses tonight's confidence vote.
The former cabinet minister also refused to rule out running to be Conservative leader again.
Hunt said it was not the “right time” for a leadership change due to Ukraine, but added: "I don’t rule out a return in the future."
Clip from November resurfaces after culture secretary confirms privatisation of broadcaster.
Government says privatisation will help the broadcaster "thrive in the face of a rapidly-changing media landscape".
“I mean, you’re talking to someone who as the foreign secretary called his Chinese wife ‘Japanese’ and I managed to get through that."
Former health secretary also says UK should stop taking nurses from countries like India
About Jeremy Hunt
According to his website: "In December 2005 he was appointed Shadow Minister for Disabled People, where he successfully campaigned for the BBC to increase the amount of subtitling on its programmes. He also campaigned strongly for simplification of the benefits system for disabled people and individual social care budgets. In July 2007 he was appointed to the Shadow Cabinet as Shadow Secretary of State for Culture Media and Sport where he has campaigned for more philanthropy for the arts, local TV, superfast broadband, a schools Olympics and a strengthened domestic tourism industry. "In May 2010 Jeremy was appointed Secretary of State for Culture, Olympics, Media and Sport in the new Conservative - Liberal Democrat coalition. In September 2012 he was appointed Secretary of State for Health in the Prime Minister's Cabinet reshuffle. "Jeremy divides his time between Westminster and his constituency home in Farnham. He married his wife Lucia in July 2009 and they have a son and a daughter."