But in reality, she will be at the mercy of her party.
"The biggest problem Theresa May now faces is selling this complex and nuanced proposal to her MPs and the British public", he wrote in an article for The Guardian. Specifically, she wanted to address the resignations of Johnson and Davis. "She's in office but not in power".
First, what concessions will the European Union force on her?
Only three days ago, May appeared to have agreed on a deal with her fractured Cabinet on the UK's post-Brexit relationship with the EU.
Asked if May's weakened position put negotiations at risk, Barnier said: "To be honest, I don't want to make any comment on domestic and national policy in the UK".
If Davis' resignation rattled May, Johnson's shook the foundations of her government.
Johnson used his resignation letter on Monday to claim that the United Kingdom was "headed for the status of a colony" under May's soft Brexit plans, which would keep closer ties to the European Union than hardline Conservatives want.
Letters calling for a leadership contest have reportedly been submitted to the backbench 1922 Committee by some Conservatives over the weekend.
With less than nine months until Britain is due to leave the bloc, May is sticking to her plan for a "business friendly" Brexit.
There was speculation on Monday night that Brady had received letters from 48 MPs. However, there was little sign that this was on the cards.
Labour leader Jeremy Corbyn said the Prime Minister "has no authority left and is incapable of delivering Brexit".
However, this may change and frustration with May's rapidly softening Brexit policy could tip the balance.
J.K. Rowling, who has been known to make her feelings about Brexit pretty clear in the past, waded in on Monday. They are certainly plotting something. She would likely be supported by a majority of Conservative MPs.
"The prime minister knows it's a proposal and not an end agreement".
However, prominent Brexiteer Jacob Rees-Mogg, the chairman of the European Research Group of Eurosceptic backbenchers, said he had not submitted a letter of no confidence.
A cocktail of her own perseverance, parliamentary arithmetic and Conservative MPs who don't want to see another leadership contest means May, despite everything, will nearly certainly remain in office for now.