"I become more and more doubtful that by the autumn of this year we are going to be any further forward to knowing what the future relationship is than we are at the moment", she told Peston on Sunday.
Mrs May, speaking on The Andrew Marr Show, said "quite a few" trade deals have included financial services commitments in them, adding that the "very important role" of the City of London for the United Kingdom and European Union needs to be recognised.
The Prime Minister used a high-profile speech in London's Mansion House to dismiss the EU's insistence that it will not allow "cherry-picking" of rights and obligations, insisting that this was a part of any trade negotiation.
In her third big Brexit speech, the Prime Minister sought to use the might of the City of London to strike what she called a "unique and unprecedented" partnership with the EU.
As an Arctic blast swept Britain, the U.K. Prime Minister sent her warmest words yet to Brexit negotiators in Brussels.
She dismissed the'off-the-shelf' trading arrangements which the European Union already has with countries such as Norway, saying they did not provide "the best way forward" for Britain or the EU. May admitted neither side will get exactly what it wants, but maintained she is confident an agreement can be reached.
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But her vision was little changed from an earlier proposal for Britain to be able to diverge from some of the EU's rules and regulations while sticking to others which benefit Britain, a plan the bloc has described as "pure illusion".
The comments come on the heels of Mrs May's keynote Brexit speech on Friday, which was meant to flesh out her vision for leaving the EU.
One Brexit campaigner welcomed the speech and praised May, who has been under pressure from two warring factions in her Conservative Party.
A report in the Mail on Sunday suggested Mr Johnson's allies believed Mrs May's chief of staff Gavin Barwell was behind the leak, in order to stop any rebellion over the PM's Brexit plan.
"We must hope that they will be as positive and pragmatic as Theresa May".
May says Brexit talks are approaching a crucial moment and "there is no escaping the complexity of the task ahead of us".
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During his speech, Putin spoke about the latest weapon developed and created Russian Federation . "You have failed to contain Russian Federation ".
"It is possible to have that frictionless trade that we all want, that prosperous economy, at the same time as getting back control of our destiny", he said.
Northern Ireland's leader of the Democratic Unionist party, Arlene Foster, welcomed May's commitments to staying out of the customs union, while the Sinn Féin leader, Mary Lou McDonald, said proposals for a "fantasy technological" solution lacked credibility.
"The reasons are wrong because in reality the Prime Minister is imprisoned by a hard core of her backbenchers threatening to call for her resignation if she deviates by the smallest margin from their prejudice towards Europe".
But the government source said the latter approach would need more work to fully solve the border question, and an European Union official told Reuters in Brussels it was "fantasy" to suppose the bloc would trust Britain to collect tariffs on its behalf.
"What we do want to see are new customs arrangements, created to minimise any unnecessary costs or regulations at our borders so that trade can continue as frictionless as possible".
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In total, 28 Ontario athletes reached the highest level of their sport by securing a spot on the Olympic podium for Team Canada. At only 17 years old, Chloe Kim made a name for herself after earning a almost ideal score of 98.25 on the Women's Halfpipe.