The US should do more to tackle far-Right extremism, Theresa May has suggested as she issued a stinging rebuke to President Donald Trump over his decision to retweet anti-Muslim propaganda.

Speaking in Jordan the Prime Minister said none of her Cabinet ministers would ever repeat messages posted by Britain First, just days after the President did.

It came as it emerged that Sir Kim Darroch, the British Ambassador to the US, has contacted the White House to raise the issue of the tweets.

Doing nothing to disguise her frustration and at times verging on anger, Mrs May denounced the group as a "hateful organisation" which "seeks to spread mistrust and division within our communities".

It is the first time the Prime Minister has spoken about Mr Trump's tweets, in which he repeated right-wing anti-Muslim propaganda and criticised Mrs May for saying he was wrong to do so having initially directed his attack at the wrong Theresa May on Twitter.

Theresa May takes questions from the press after delivering a speech in Amman, Jordan Credit: Toby Melville/Reuters

Mrs May was told about the controversial remarks made by the President directly about her by aides last night.

They took her to one side to explain the controversy just as the C-130 Hercules transport plane on which she was travelling took off from Iraq.

Asked about the threat of right-wing groups like Britain First and whether by retweeting their messages Mr Trump was enabling them to gain legitimacy, Mrs May said: "I think that we must all take seriously the threat that far-Right groups pose and both in terms of the terrorist threat that is posed by those groups and the necessity of dealing with extremist material which is far-Right as well.

Theresa May walks alongside Donald Trump during a visit to the US in January 2017 Credit: Brendan Smialowski/AFP

“I have commented in the past on issues in the United States on this matter.

“In the United Kingdom we take the far-Right very seriously and that is why we ensure that we deal with these threats and this extremism wherever it comes and whatever its source.”

And she warned the UK will not be afraid to rebuke America, despite the so-called special relationship, when she feels Mr Trump has got something wrong.

Story continues

"The fact that we work together does not mean that we are afraid to say when we think the United States have got it wrong and be very clear with them," she said.

Mrs May added: “I am very clear that retweeting from Britain First was the wrong thing to do.”

Mrs May remained tight lipped on the issue of a possible state visit, refusing to say it could be cancelled and instead stating simply than an invite has been "extended and accepted by the President".

Asked if she would sack one of her own Cabinet Ministers if they tweeted videos like those cited by Mr Trump she said she has "absolute confidence" that her ministers "would not be retweeting material from Britain First".

Downing Street reacted on Wednesday to Mr Trump’s original decision to retweet the anti-Muslim videos by saying he was “wrong” to have promoted the material.

.@Theresa_May, don’t focus on me, focus on the destructive Radical Islamic Terrorism that is taking place within the United Kingdom. We are doing just fine! — Donald J. Trump (@realDonaldTrump) November 30, 2017

The US President then publicly chastised Mrs May saying she should not “focus on me” but “focus on the destructive Radical Islamic Terrorism that is taking place within the United Kingdom”.

The inflammatory videos which Mr Trump retweeted were originally posted by Jayda Fransen, deputy leader of Britain First, an extremist organisation that has carried out "mosque invasions" and provocative "Christian patrols" in ethnically diverse areas.

The President’s decision to share the videos with his tens of millions of Twitter followers prompted widespread outcry, with politicians from various parties in the UK lining up to criticise Mr Trump and to call for a planned state visit to be cancelled.

Amber Rudd, the Home Secretary, hinted the trip could be delayed, telling MPs on Thursday morning that “we have yet to make the arrangements” and “dates have not yet been agreed”.

Meanwhile, Sadiq Khan, the London Mayor, said Mr Trump would not be welcome in the capital.

He said: "As the mayor of this great diverse city, I have previously called on Theresa May to cancel her ill-judged offer of a state visit to President Trump.

"After this latest incident, it is increasingly clear that any official visit at all from President Trump to Britain would not be welcomed.

"The Prime Minister of our country should be using any influence she and her Government claim to have with the president and his administration to ask him to delete these tweets and to apologise to the British people."