... but leave it up to Landseer to class up the scene with this lovely painting.
Of course, the Queen did not always have to be led out on a pony. The drawing below shows her schooling a horse over jumps in a riding school at Windsor.
And below is a statue of her in front of St. George's Hall in Liverpool
Naturally, a Queen would have a well trained and prepared mount and would not likely encounter a Critical Situation. Somewhere I read that when Queen Elizabeth II was still riding aside in ceremonial functions, her horse was taken out and galloped for several miles in the morning before appearing in the parade or other ceremony.