Queen Elizabeth‘s husband went on to explain that “the sun was shining low over the main road,” adding, “in normal conditions I would have no difficulty in seeing traffic coming from the Dersingham direction, but I can only imagine that I failed to see the car coming, and I am very contrite about the consequences.”

“I was somewhat shaken after the accident, but I was greatly relieved that none of you were seriously injured,” he wrote, mentioning the 28-year-old driver who suffered cuts to her knee and her 9-month-old baby in the backseat, who was uninjured.

Philip explained the timing of his departure from the scene of the accident, writing, “As a crowd was beginning to gather, I was advised to return to Sandringham House by a local Police Officer.”

“I have since learned that you suffered a broken arm,” he added in the letter published by the Sunday Mirror. “I am deeply sorry about this injury.”

Philip also wished Fairweather a “speedy recovery from a very distressing experience.”

“Your sincerely, Philip,” he concluded the note.

Fairweather went on to tell the Sunday Mirror how much she appreciated Philip’s note.

“I thought it was really nice that he signed off as ‘Philip’ and not the formal title. I was pleasantly surprised because of the personalised nature,” she said, adding, “He’s tried to give an explanation so I appreciate that, whether I agree with it or not.”

Fairweather has previously denied that it was sunny on the day of the accident, telling Great Britain’s This Morning that she remembered the weather being “miserable and overcast.”

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“I don’t remember it being sunny that day. I would never want to put myself in a position where I would say that the Duke is not being honest. But I do not recall that that day was sunny. That’s all I can say. That’s not the day that I had,” she remarked.

News of the apology comes one week after Fairweather told the Sunday Mirror that she was disappointed with the royal family because she had yet to receive an apology from Philip.

“I’m lucky to be alive and he hasn’t even said sorry,” Fairweather told the outlet.

“It would mean the world to me if Prince Philip said sorry but I have no idea if he’s sorry at all,” she added.

Philip walked away from the accident uninjured after flipping his Land Rover following a collision with a Kia. On doctor’s advice, he visited the hospital on the morning after the crash for a “precautionary check-up.”

“His Royal Highness had no injuries of concern. The Duke has returned to Sandringham,” a palace spokesperson said.

Philip also received an eyesight test, which he passed, according to a police spokesperson.

RELATED: What Queen Elizabeth ReallyThinks About Prince Philip’s Driving

The Queen’s husband was seen driving in the area just two days after the crash, operating a replacement Land Rover on a public road without his seatbelt fastened.

According to friend and biographer Gyles Brandreth, Philip will reluctantly accept that he has to give up driving in public if he is advised to do so.

“He is a pragmatist and a realist and I’m sure he will accept that while possibly muttering under his breath,” Brandreth told PEOPLE.

This article originally appeared on People. For more stories like this, visit people.com.