The photos appeared just two days after he was part of a vehicle crash involving two women and a 9-month-old baby near the royal Sandringham estate in Norfolk.
Philip exchanged "well-wishes" with the injured women and appeared to have no lasting problems following the collision on the busy A-road, a palace spokeswoman said on Friday.
Emma Fairweather, who sustained a broken wrist during last week's collision with Prince Philip's vehicle, states he has not reached out with any substantial well wishes, let alone an apology.
She told the paper: "I still haven't had any contact from the Royal household".
"Maybe he should prioritise that over test driving his new vehicle".
As they drove along the A149 near Sandringham, the duke - who later said he had been dazzled by the low afternoon sun - pulled out of a side road and they struck his Land Rover side-on.
Following the message, the Queen was pictured on her first public outing since the crash as she appeared on her own at a church service on Sunday, close to her Sandringham estate. "He said, 'The Queen and the Duke of Edinburgh would like to be remembered to you'". The accident created quite a ruckus among the United Kingdom media who questioned about the Duke's age and his ability to drive in the public roads at an old age.
Police said the advice given to Philip was "n line with our standard response when being made aware of such images showing this type of offence".
Fairweather said she had no idea the driver of the other vehicle was Prince Philip, and was focused on getting the baby out of the auto, not realising her side of the auto had taken the most impact.
Buckingham Palace says Philip has a valid driver's licence.
Philip also received an eyesight test on Saturday morning, which he passed, according to a police spokesperson.
The 97 year old prince has been seen driving his vehicle just two days after he escaped from getting hurt in a bad accident in a miraculous manner.
Norfolk police are still investigating the crash on Thursday and said "appropriate action will be taken".
Philip may have plans to continue driving as the Queen's transport manager, Alex Garty, was seen at Sandringham as a new Freelander was delivered to the royal residence.