The monarch’s views have emerged as MPs threaten to drag her into the escalating Brexit crisis.

It is among the starkest political statements the Queen is known to have made during a 67-year reign, when her views on the political climate have rarely been exposed.

The remarks underline her exasperation with the explosive political fallout from the 2016 referendum, which continues to divide the country and parliament.

The Queen made the comments at a private event shortly after David Cameron’s resignation following the referendum, but an impeccable royal source said her frustration had since grown.

“I think she’s really dismayed...