With less than nine months until Britain is due to leave the EU, May has been wrestling with how to enact Brexit without jeopardizing business with the world's biggest trading bloc of 27 countries whilst forging new global deals.
The ensuing political crisis was an nearly inevitable result, prompted by the resignations of two senior ministers, Foreign Secretary Boris Johnson and Secretary of State for Exiting the European Union David Davis.
"It may resolve the dilemma the Prime Minister faces".
Lord Hague warned "Tory MPs with their pens hovering over letters" that the chances of such a challenge leading to the Brexit they desire "are about zero".
Interesting, certainly, but Theresa May and her allies could also say inopportune. Europe's most powerful leader, German Chancellor Angela Merkel, arrived in London later on Tuesday.
Some say the recent events may lead to a leadership challenge this week with Boris Johnson's name being passed around as one of the potential candidates. Three junior ministers also quit their posts.
"We're extremely confident in the ability of the United Kingdom to plow through this issue with Brexit and move on", he said. "That dream is dying, suffocated by needless self-doubt".
Theresa May defended her plans as she arrived at a North Atlantic Treaty Organisation summit in Brussels, saying it had been agreed by the government and "delivers on the vote that people gave on Brexit".
"I've listened to every possible idea and every possible version of Brexit".
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However, she is still thought to have support from the majority of the party - meaning Brexiteers could find it very hard to oust her. But, after much speculation, Mr Johnson announced he would not enter the Conservative leadership race when his ally Michael Gove announced he was running.
I was elected past year on the back of a campaign that focused on your leadership, and on delivering Brexit.
"And it would be a split coming from the top, not from the members of the Conservative Party across the country".
While other senior ministers rallied round her after the resignations which left Westminster reeling on Monday, rumblings of discontent among rank and file lawmakers remained.
The Sun, Britain's top-selling newspaper, which has long argued for Brexit, said May had made "blunder after blunder". "Now there is chaos", it said in its editorial.
The President of the European Council is one Donald Tusk. "Brexit must and will happen".
During that campaign he travelled around the country in a Vote Leave bus controversially emblazoned with the claim that exiting the European Union would bring £350 million a week back to Britain to spend on the NHS.
The major issues for Britons were concerns about immigration, sovereignty and the sums paid to the EU.
As the MP for Mansfield, I believe that the nearly three-quarters of local people who voted Leave did so wanting to give Britain control of its own destiny, its borders and its laws. Speaking as he signed a joint EU-NATO declaration with NATO Secretary-General Jens Stoltenberg, Tusk was apparently alluding to Trump's upcoming meeting with Vladimir Putin when he said "it is always worth knowing who is your strategic friend and who is your strategic problem". "But remember, what are the options in front of us?"