Cllr Wilkinson, who sits on Gedling Borough Council in Nottinghamshire, added that in the last branch meeting before the leadership contest began she had argued in favour of a motion of support for Mr Corbyn and against one in her local MP, Vernon Coaker, who resigned from the Shadow Cabinet in June and is backing Mr Smith.
A source within Mr Smith’s camp said: “We thought this would be a fair and amicable contest. It is wrong for Corbyn supporters to pretend they’re undecided when they aren’t, just in order to give the impression that Corbyn’s argument is more persuasive.
“We call on Corbyn to condemn this behaviour immediately.”
In a statement the BBC said that producers gave each member of the audience a phone interview and checked their social media accounts before the show was aired.
A spokesman said: “We don’t accept these claims. Every member of the audience, all Labour party members, were thoroughly vetted including their social media comments with the ‘undecided’ section split between those who expressed a leaning towards Corbyn, those who expressed a leaning towards Smith and those who expressed no opinion.”
Mr Corbyn’s team declined to comment.