"That's what I think is important in an election campaign - not politicians arguing amongst each other, but actually listening and taking questions from voters".
The Labour leader replied: "We will protect the people of this country from any threat that they face anywhere in the world".
But Mrs May's lead has shrunk from more than 20 percentage points to as little as five, according to opinion polls, though all major polls put Mrs May in the lead.
May's Conservatives have been in power since 2010, and the prime minister faced tough questions about her government's cuts to welfare and health services.
"It is clear that on contact with the voters, Mrs May is not going down well and she is losing ground in particular amongst middle aged voters and female voters", Ben Page, chief executive of Ipsos MORI, told Reuters.
The Copeland by election seemed to confirm that Labour was in the most hopeless situation since 1945 and that Corbyn was doomed as a mainstream political leader.
But Mrs May said: "I'm not refusing to take part in debates, because I'm here answering questions from you".
University of Queensland political science lecturer Joff Lelliott told The New Daily the Conservatives will "still nearly certainly win the election", but it was unlikely they would now win with the huge majority of 100-150 seats that many initially predicted.
Against the Bank of England's trade-weighted basket, which measures sterling's broader strength, the pound is now back where it was on 9 April, before May called the election.
Christy Clark to stay on as BC premier
Lieutenant Governor Judith Guichon must invite either the Liberals or the NDP to form a government. Most of the deal is no-brainer stuff, because the two parties already agreed on so much.
"What people will know when they go to vote on Thursday is that it is the Conservative Party that always has been and is and always will be a low-tax party", she said.
Hawkins said: "I guess, if I've got a concern this time around, it's that some of those people who we didn't model in in 2016, are they sensitised to voting now?"
However, in a further blow to the Conservatives on Friday, one of its candidates who beat leading Brexit figure Nigel Farage in the 2015 parliamentary election, was charged with breaking expenses rules during that campaign.
The Prime Minister, who had campaigned against Brexit, had come to lead Britain after former prime minister David Cameron stepped down after last year's referendum.
The Conservative leader was accused of "broken promises" for calling an early election for June 8 after she had repeatedly said she would not, and for a U-turn on a key manifesto pledge on elderly social care.
"The most likely outcome here is a Tory (Conservative) victory, but a Tory victory no longer certain of an increased majority", she told BBC radio.
Doubts about Hammond's future have mounted since he had to reverse plans to raise payroll taxes for self-employed workers just days after presenting his first annual budget in March, while Rudd has played a highly visible role in the election.
Britain's Labour Party has narrowed the gap with the ruling Conservatives in the polls, going up from an average of 25 percent support when Prime Minister Theresa May called an election last month to almost 35 percent.
"If the Prime Minister has a very big majority she will be able to do what she likes - the bigger the majority, the bigger the reshuffle", an unnamed minister was quoted by the Telegraph as saying.