On Monday, high-profile Brexiteer and Conservative MP Johnson announced he was resigning from the Cabinet, following the agreement of a Brexit proposal that would see the United Kingdom retain close links to the European Union after exiting the organisation.
Hunt, the MP for South West Surrey, has served as Health Secretary since 2012.
May met with Conservative lawmakers in a packed room at Parliament, in a bid to calm the feverish atmosphere in the deeply divided party.
Brexit has been a source of intense confusion and uncertainty pretty much since the vote got passed back in 2016, but this week has been manic even by normal standards.
The campaign is fighting to give the public the final say on Brexit, a deal that is "too big to be ignored by the people". Under Conservative Party rules, a leadership race could be triggered if at least 48 of her MPs declared their support for one.
"That dream is dying, suffocated by needless self-doubt". He says the Brexit "dream is dying, suffocated by needless self-doubt", and that Britain is "headed to the status of a colony", having to swallow European Union writ without "any ability to influence these laws as they are made".
He went on to explain how the current political turmoil in Britain will work to the EU's advantage in Brexit negotiations.
Times columnist Rachel Sylvester said May´s authority "is utterly destroyed at the very moment she needs the credibility to assert herself in the negotiations with the EU". He said that if Parliament was deadlocked, Britain might need to hold another referendum on leaving the EU.
And in a rather dramatic fashion, news broke mid-way through the interview.
Government unity began to fray within hours.
The man leading the UK's negotiating team, David Davis, resigned late on Sunday night, saying that he did not agree with the UK's proposals, so was the wrong person to be going into negotiations with them. They also argued that the proposals breach several of the "red lines" the government had set out, including a commitment to leave the EU's tariff-free customs union.
While International Development Secretary Penny Morduant immediately welcomed the decision saying Rabb is "highly capable, across the issues, attention to detail, Leave supporter and pragmatist", others said Davis' resignation has plunged Britain into "absolute chaos".
May appointed staunchly pro-Brexit lawmaker Dominic Raab as the country's new Brexit secretary.