Rachel Boyle was in the televised audience and, addressing Mr Fox, said: "It's racism, she is a black woman, and she has been torn to pieces."
But Mr Fox dismissed this as he shook his head and said: "It's not racism."
Thank you for the support Twitter 💜 I am appalled by the argument presented to me by this man! At no point did I call him racist, I said that his viewpoint is informed by his white privileged position- and he didn’t like it. https://t.co/Du6nAUoS5o— Rachel C. Boyle (@RachelCBoyle1)January 16, 2020
He continued: "We're the most tolerant lovely country in Europe.
"It's so easy to throw the card of racism at everybody... and it's really starting to get boring now."
The row then heated up as she told him: "What worries me about your comment is is you are a white privileged male."
This is the position I took last night and I live by in life. If you can improve on it, I’m all ears.
Or you can keep screeching “Racist!” at me and I can carry on having a jolly good giggle at your expense.
The tide is turning. pic.twitter.com/fFJzkzvFsY— LAURENCE FOX (@LozzaFox)January 17, 2020
He then angrily interjected with "oh god" and added: "I can't help what I am, I was born like this, it's an immutable characteristic.
"So to call me a white privileged male is to be racist. You're being racist."
Ms Boyle took to social media to thank people who backed her comments.
In a tweet she wrote: “Thank you for the support Twitter. I am appalled by the argument presented to me but this man!
“At no point did I call him racist, I said that his viewpoint is informed by his white privileged position – and he didn’t like it.”
The tweet gained more than 7,000 likes with even more users stepping forward to support Ms Boyle.
Right on. Its a shame he doesn't understand how a system of oppression works— Dr Berms (@flow_rider_mtb)January 17, 2020
“Right on. Its a shame he doesn't understand how a system of oppression works,” wrote one user.
“Thank you so much for being so clear and eloquent.” said another.
Thank you so much for being so clear and eloquent 🙏🏾❤️🙏🏾— Professor Sue Black OBE Keynote Speaker (@Dr_Black)January 17, 2020
Another said: “Thank you for speaking truth”.
Thank you for speaking truth— Prof Kate Williams (@KateWilliamsme)January 17, 2020
After the appearance, Fox tweeted to say his social media feed was "like Christmas come early" and added: "Speak truth to nonsense."
Some responded in defence of the opinions he had shared.
One user said: “Oh Laurence, believe me, millions of us are behind you tonight. I cant watch QT normally, for its bias, but tonight was an exception.
Another added: “Well done on last nights question time. It takes a brave man to speak the truth so eloquently and stand up for what is right.”
Well done last night you were spot on— Me (@Rabberoonies)January 17, 2020
Another said: “You are just perfect!!!! We need people like you!!!! We the people are sick of this PC nonsense and it needs hurrying away.....Keep doing this Laurence!"