David Burrows (pictured below), MP for Enfield and Southgate, told Premier that "in many ways, the nation may breathe a sigh of relief that we can move on towards supporting a new prime minister... it's wonderful that the Conservatives have selected a second woman prime minister, and now we can get on and move forward."
Theresa May has been facing demands for an immediate general election after securing her place as the UK's second female prime minister through the surprise withdrawal of her only rival in the battle to succeed David Cameron.
Energy Minister Andrea Leadsom offered Ms May her "full support" after conceding that she had too little support among Tory MPs to deliver a "strong and stable government".
David Burrowes told Premier's News Hour he respects Ms Leadsom's decision to quit and the country must move on.
He said: "I'm personally disappointed for Angela, she's a great Christian lady who has much to offer in public life.
"The reason she put herself forward is because she considered it was in the country's best interest for her to do so.
"She's now made the decision that it's in the country's best interests to step down, so now we must move forward."
Mr Burrowes went on: "Christians should be pleased that all the leadership candidates professed a Christian faith and it's excellent that we have a prime minister that professes a Christian faith, that's a regular church-goer, that has stood tall on issues that Christians have been campaigning on for many years, not least the issue of modern slavery."
The figureheads of the Brexit campaign in last month's referendum - Michael Gove and Boris Johnson - have also offered the Home Secretary their backing as new Conservative leader.
The chairman of the Conservative 1922 Committee, Graham Brady - who oversees Tory leadership contests - said he had to consult the party's board before formally confirming Mrs May as new leader.
But he made it clear that there was no need to re-start the election and there was no doubt at Westminster that it was simply a matter of time before she becomes Prime Minister.
Downing Street sources said discussions were under way about the timing of Mr Cameron's departure.
The handover of power to a new prime minister had not been expected to take place until after the conclusion of the ballot of 150,000 Conservative members on September 9 but is now expected to happen within days, and possibly before the end of Monday.
Listen to Premier's Antony Bushfield speak to David Burrowes here: