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Sarah Olney was apparently pulled off air by a member of her press team after being given a grilling during a radio interview.

The Liberal Democrats’ newest MP, who ousted former Tory Zac Goldsmith in a shock by-election victory, was being interviewed by Julia Hartley-Brewer on Talk Radio on Friday afternoon.

Her premature exit came after tricky questioning from the presenter on her calls for a referendum on the terms of Britain’s exit from the European Union.

Ms Hartley-Brewer said: "Voters knew what they were voting for in your by-election, they knew what they were voting for in the EU referendum.

"Why do we think that one election should be re-run and one shouldn't?"

Ms Olney said the terms of Brexit had not been clear during the referendum and it had been a vote on the departure rather than the destination.

"There was no clear manifesto for what happened to our membership of the single market or what happened to freedom of movement," she said.

Richmond Park by-election 2016 - In pictures 16 show all Richmond Park by-election 2016 - In pictures 1/16 Liberal Democrat candidate Sarah Olney reacts as she is declared the winner of the Richmond Park by-election Getty Images 2/16 Zac Goldsmith looks dejected as he listens to newly-elected Liberal Democrat MP Sarah Olney speaking PA 3/16 Liberal Democrat candidate Sarah Olney with her husband Ben and party supporters celebrate after winning the Richmond Park by-election Yui Mok/PA 4/16 Zac Goldsmith speaking after being defeated Yui Mok/PA 5/16 Ballot papers are tipped on to a bench in front of count staff during the Richmond Park by-election count at Richmond Upon Thames College Lucy Young 6/16 A counter sorts ballot papers at the Richmond Park by-election count at Richmond Upon Thames College Chris J Ratcliffe/Getty Images 7/16 Liberal Democrat candidate Sarah Olney delivers her winning speech PA 8/16 Liberal Democrat candidate Sarah Olney and her husband Ben celebrate after winning the Richmond Park by-election Yui Mok/PA 9/16 Zac Goldsmith arrives at the Richmond Park by-election for the result Yui Mok/PA 10/16 Liberal Democrat candidate for Richmond Park Sarah Olney arrives in the count hall in Richmond Justin Tallis/AFP/Getty Images 11/16 Zac Goldsmith (left) looks down as the result is announced Yui Mok/PA 12/16 Zac Goldsmith speaks after being defeated in a by-election he triggered himself Yui Mok/PA 13/16 Zac Goldsmith's mother Lady Annabel Goldsmith (3rd left) consoles a dejected supporter, as his wife Alice Rothschild (left) listens to him speak Yui Mok/PA 14/16 Newly elected Liberal Democrat MP for Richmond Park Sarah Olney listens to Independent candidate Zac Goldsmith Justin Tallis/AFP/Getty Images 15/16 Zac Goldsmith shakes hands with the winner of the Richmond Park by-election, newly-elected Liberal Democrat MP Sarah Olney Yui Mok/PA 16/16 Zac Goldsmith leaving Richmond upon Thames College after defeat Yui Mok/PA 1/16 Liberal Democrat candidate Sarah Olney reacts as she is declared the winner of the Richmond Park by-election Getty Images 2/16 Zac Goldsmith looks dejected as he listens to newly-elected Liberal Democrat MP Sarah Olney speaking PA 3/16 Liberal Democrat candidate Sarah Olney with her husband Ben and party supporters celebrate after winning the Richmond Park by-election Yui Mok/PA 4/16 Zac Goldsmith speaking after being defeated Yui Mok/PA 5/16 Ballot papers are tipped on to a bench in front of count staff during the Richmond Park by-election count at Richmond Upon Thames College Lucy Young 6/16 A counter sorts ballot papers at the Richmond Park by-election count at Richmond Upon Thames College Chris J Ratcliffe/Getty Images 7/16 Liberal Democrat candidate Sarah Olney delivers her winning speech PA 8/16 Liberal Democrat candidate Sarah Olney and her husband Ben celebrate after winning the Richmond Park by-election Yui Mok/PA 9/16 Zac Goldsmith arrives at the Richmond Park by-election for the result Yui Mok/PA 10/16 Liberal Democrat candidate for Richmond Park Sarah Olney arrives in the count hall in Richmond Justin Tallis/AFP/Getty Images 11/16 Zac Goldsmith (left) looks down as the result is announced Yui Mok/PA 12/16 Zac Goldsmith speaks after being defeated in a by-election he triggered himself Yui Mok/PA 13/16 Zac Goldsmith's mother Lady Annabel Goldsmith (3rd left) consoles a dejected supporter, as his wife Alice Rothschild (left) listens to him speak Yui Mok/PA 14/16 Newly elected Liberal Democrat MP for Richmond Park Sarah Olney listens to Independent candidate Zac Goldsmith Justin Tallis/AFP/Getty Images 15/16 Zac Goldsmith shakes hands with the winner of the Richmond Park by-election, newly-elected Liberal Democrat MP Sarah Olney Yui Mok/PA 16/16 Zac Goldsmith leaving Richmond upon Thames College after defeat Yui Mok/PA

Ms Hartley-Brewer replied: "Every single leading member of the Remain campaign said a vote to leave the EU was a vote to leave the single market. Nothing unclear about that at all."

After a few seconds of silence, an unnamed aide stepped in and told the presenter: "I'm really sorry but Sarah has to leave now."

Ms Hartley-Brewer said the MP "should be able to answer some simple questions" about her policy and asked for her to be put back on air but was told Ms Olney had another interview to attend.

"If she doesn't want to answer questions from a radio station perhaps she is not fit to be an MP", the presenter added.

Additional reporting Press Association.