Donald Trump has insisted the ‘special relationship’ between Britain and the United States is “the highest level of special” as he addressed reporters alongside prime minister Theresa May at Chequers.

The president described Brexit as an “incredible opportunity” and said whatever Britain does after leaving the European Union was “OK with me” – hours after telling The Sun newspaper that Ms May’s plan may “kill” any trade deal between the UK and the US.

Responding to questions about the interview, Mr Trump described the report as “fake news,” while Ms May added the pair had discussed plans for an “ambitious” trade agreement.

Following his Chequers meeting, Mr Trump headed to Windsor Castle to meet the Queen. But the president quickly defied royal protocol by walking ahead of the monarch during an inspection of the Coldstream guards.

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Despite the humiliating interview, in which Mr Trump said the prime minister “didn’t listen” to his advice on Brexit, Ms May praised the American leader for “making tough calls and saying things that others would rather not say”.

“From the outset, President Trump has been clear about how he sees the challenges we face and on many we agree,” she added.

The second day of the American leader’s visit to the UK was marked by mass protests across Britain, with a huge blimp depicting him as a baby wearing a nappy flown by demonstrators in London.

The six-metre inflatable caricature took to the skies in Westminster as tens of thousands of demonstrators prepare to march through London’s streets.

Protests were also planned to take place outside Chequers and in Scotland, where the president leader will arrive on Friday evening after having tea with the Queen at Windsor Castle.

Mr Trump was heavily critical of the proposed EU deal thrashed out by Ms May her cabinet, warning it would “probably kill” any future UK-US trade agreement.

The US leader said he would have done the negotiations “much differently” and claimed the prime minister had not listened to his advice.