Ex-attorney general Dominic Grieve – a leading Remain campaigner – claimed this could delay her pledge to start the two-year process for quitting the EU in March 2017.
One minister claimed the delay could take up to a year.
Condemnation of the verdict – which few had expected – was swift and devastating.
MPs pointed out that it had been brought by embittered Remainers and a wealthy fund manager, who had formed an 'unholy alliance' with the judiciary.
He was also once accused of trying to silence a High Court judge who had championed the institution of marriage.
In 2013, he rebuked Sir Paul Coleridge for ‘bringing the judiciary into disrepute’ after speaking out in favour of traditional marriage and describing the devastating impact of family break-up on children.
This is despite a clear commitment by the Government during the referendum to enact the public's verdict without delay.
He served for two years as chairman of the Law Commission – the Government’s legal reform body – where he was credited with suggesting ‘enlightened’ ways of updating laws.
The panel’s third judge, Lord Justice Sales, came from the same chambers as Tony Blair and once billed taxpayers more than £3million.
Mr Davis said heading down this path would be a huge mistake.
Insiders said Mrs May and the ministers in charge of Brexit had all been enraged. It will hear Mrs May's appeal from December 7 – with a verdict highly unlikely before Christmas.