According to the Daily Mail, the 49-year-old's show at the Preston Charter Theatre, which was scheduled for April, was suffering from lack of interest. The newspaper alleges that only two tickets were sold at the 780-seat theatre. It also claims that only 52 seats had been booked for a show at the 200-capacity Guildhall Theatre in Grantham.
The production was billed as a "fascinating and entertaining evening with TV's Anthea Turner", which promised to reveal "the secrets of being the perfect housewife".
However, Turner's manager Michael Joyce rubbished allegations that a lack of ticket sales was behind the postponement.
"The show has been postponed because Anthea has got involved with a North American TV show and had to fly out at short notice. It was not because of poor ticket sales," he said.
The show's producers Clive Conway Celebrity Productions added: "Unfortunately Anthea had to cancel this live show due to other commitments. I don't have any information regarding rescheduling the event at the moment."