"That could mean in just 10 days' time, a government in chaos, Jeremy Corbyn in number 10, John McDonnell in the Treasury, Diane Abbott in the Home Office and Nicola Surgeon and the Lib Dems pulling the strings", she said.
On questions of substance (other than Brexit) the prime minister was unimpressive, waffling her way through answers on the "dementia tax", school funding and police cuts. But someone in the audience shouted out that the Labour manifesto was "costed" and they all knew that there weren't any proper numbers in the Tory manifesto.
For the Tories, Mr Davis praised Mrs May by saying: "The Prime Minister brought it back to the fundamentals - who is going to get the best Brexit deal, and in doing so who will be able to secure our economy, our public services and our national security".
"Better no deal than a bad deal", a line she has used successfully in the past, won loud applause from the studio audience at Sky.
Mr Corbyn met Mexican-born Ms Alvarez, 48, in 1999.
The studio audience again applauded loudly when Mr Paxman pointed out that Mrs May and her spokesmen had promised on six occasions since becoming PM that there would not be a general election before 2020.
The furor over long-term care and her obvious change of heart over Brexit, which she had originally opposed, have dented her claims that only she can provide the "strong and stable" leadership Britain needs as it faces very hard negotiations over how to extract itself from the European Union.
"Tonight she showed the strength and quiet determination to confront the challenges the country faces and set out the way through them. Jeremy Corbyn is not", she said.
Rajinikanth gets a taste of politics
The BJP has said it would welcome the 66-year-old actor and that he enjoyed a personal rapport with Prime Minister Narendra Modi. Super Star Rajinikanth is an Indian film actor. "Rajinikanth does not fit into the current political situation in Tamil Nadu.
"It's not about not knowing [the level of the cap]; it's about thinking about what the right approach is to get to that figure".
A Labour source had previously told the Guardian that Mr Corbyn would not appear on The One Show with his wife as his family were "completely out of bounds" during the campaign.
Pressed further by Paxman if that means she would be ready to cut short the lingering talks and part with the European Union without any agreement, the prime minister reiterated that the United Kingdom "will be there to negotiate the right deal but..."
The Labour leader said there was a period of silence for "everyone who died in Northern Ireland" at the 1987 event.
Commenting on a substitute to what might have been a face-to-face debate between May and Corbyn, former UKIP leader and European Parliament MP Nigel Farage pointed out that May's tough rhetoric on Brexit is likely to serve her well at the polls.
Corbyn again refused to answer directly, but said he wanted to work for a nuclear-free world.
A small business owner attacked Mr Corbyn's "ruthless short-sighted policies" such as increasing corporation tax and putting VAT on private school fees.
With polls showing May is more trusted to deliver Brexit than Corbyn, she will look to keep the election debate tightly focused on the upcoming talks, seeking to recover from a backlash to her plans to make elderly voters pay more towards the cost of their old age care. The audience liked that, but they also clapped happily when she said she had made a decision to call the election after saying she wouldn't because other parties were trying to frustrate the will of the British people over Brexit.