"We have to look at the evidence that is there at the time to make that fatal decision one way or the other".
The poll found just over half of the 1,009 respondents thought May would make the best prime minister, whilst support for Labour's Jeremy Corbyn stood at just 30%, albeit higher than in previous surveys.
"Why? I know what additional Tory austerity is doing right now". May, who was at times heckled by the audience during the televised questioning, was asked by a serving policeman about "devastating" cuts to police numbers during her six-year tenure as interior minister.
He added: "I think if you are to lead, you have to be prepared to listen as well, and I enjoy that".
Mrs May also reaffirmed that she would walk away from the forthcoming Brexit negotiations without a deal rather than accept a "bad" deal.
Low mortgage rates not impressing potential new home buyers
One of the problems is that once rates reach rock bottom (which is pretty well where they are right now) the only way is up. This could be a good time for more young Americans to take out a Roth Individual Retirement Account or IRA for short.
Jeremy Corbyn has apologised for being unable to name the estimated cost of Labour's flagship childcare policy after it was unveiled on Tuesday.
"You picked one 10-second quote there", she said.
A small business owner attacked Mr Corbyn's "ruthless short-sighted policies" such as increasing corporation tax and putting VAT on private school fees.
"It is totally and absolutely completely unacceptable for anyone to throw abuse at anyone else", the Labour leader said. "I felt that she was exploiting the situation". "And he could have been", he said.
Meanwhile, bookmakers are still clearly backing the Tories to see off the challenge by Mr Corbyn's Labour and the Liberal Democrats, who are campaigning for a "soft Brexit".
Defense Department Makes Successful Missile-Intercept in Test
Four of those tests have been successful, including the most recent one in 2014, according to The Associated Press. Prior to Tuesday, the US military had conducted 17 tests of its missile-defense system and nine were successful.
Mr Corbyn, meeting staff at a nursery in Westminster, said today: "The Labour party believes every child, no matter what their background, deserves a good start in life, and that childcare costs shouldn't be a barrier for parents who want to go back to work".
"Labour hopes to secure friendlier coverage - based around set-piece interviews and profiles - without having to contend with a cantankerous rolling mob of journalists", BuzzFeed News said.
She said there were "boy jobs and girl jobs" in their household, which some voters branded sexist.
She was pressed by Mr Paxman over her climbdowns on a proposed Budget hike in national insurance and her social care changes just days after they were unveiled in the Tories' election manifesto - and what it would mean for the Brexit negotiations.
Betfair spokeswoman Katie Baylis said: "There's no doubt Labour are closing the gap in the polls, which is a sentiment that's also being reflected in the odds and it seems Corbyn gave his Labour party a slight advantage after last night's "debate" with the party's odds shortening into 11/1 from 13/1 yesterday on the Most Seats market".
John McCain: Throw Turkish Ambassador 'The Hell Out Of The USA'
Two men were arrested at the scene, and police say they intend to pursue charges against others involved as well. Police Chief Peter Newsham, the situation was especially "dicey" because some of the Turkish guards were armed.