"I believe that's important".
The outcome of last week's vote has also thrown into doubt what Britain would seek from Brexit talks with the European Union, complex negotiations which will have profound implications for the world's fifth largest economy.
The Secretary of State said the government remained "four square" behind the Good Friday accord.
The Prime Minister is expected to signal to her parliamentary colleagues that she will run her government in a more collegiate, less controlling way, after sacrificing her two closest advisers, Fiona Hill and Nick Timothy. He said a new election might be necessary later this year or early in 2018. Her narrow majority is already running into instability.
While Mrs May appears to have seen off the threat of an immediate leadership challenge, her weakened grip on power has put her under pressure on several fronts.
"I find it incredibly self indulgent for the Tory party to be going for this sort of stuff", he said on ITV television.
The talks with the European Union, perhaps the most consequential set of negotiations Britain has faced since World War II, are scheduled to begin next week.
The entertainment industry has pledged to fight against a hard Brexit and ensure that the sector has a voice during negotiations to leave the European Union, following last week's general election result.
He suggested the Government would focus on the divorce proceedings before moving on to trade.
Conservative MPs who left the meeting, described her performance as "heartfelt", "powerful" and "contrite".
"She's then got to present a programme to parliament", he said. If she fails to convince them, calls are likely to mount for her to step aside, and a leadership contest could be triggered if 15 percent of MPs write to the head of the 1922 Committee saying they have no confidence in her. May's political opponents said that the possible rescheduling signaled that May's minority government is having more problems than it's letting on.
He was shifted from work and pensions to the new role at the Prime Minister's side.
"She said 'I'm the person who got us into this mess and I'm the one who is going to get us out of it, '" said one Conservative lawmaker who attended.
The former home secretary's assertions, which included that a deal would threaten the Northern Ireland peace process, were slapped down on Twitter by Labour MP for Don Valley Caroline Flint, who pointed out the hypocrisy.
The pound has fallen further amid doubts about Theresa May's ability to form a government and start the Brexit talks on time. The DUP have links to loyalist terrorism, they are widely criticized for their opposition to abortion, same-sex marriage, and women's rights.
Some have even demanded that the Brexit process be delayed as the government's stance is clarified. However, it's all about Britain's exit from the EU.
Other Tories, while avoiding such brutal assessments, were more forthright in predicting that the prime minister is unlikely to lead the Conservative Party in any future elections.