The King's sister, who sustained minor injuries in the incident at her home Gatcombe Park, looked fit and healthy as she began her gradual return to public duties on Friday.
WATCH: Princess Anne makes first public appearance after accident
The diligent Princess, who is consistently crowned the hardest-working royal each year, chose to attend the Riding for the Disabled Association's (RDA) National Championships at Hartpury University and Hartpury College, to mark her first significant public outing.
Anne has been patron of the RDA – a charity that helps disabled children and adults to access sport and physical activity – since 1971. She became its president in March 1986.
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Take a look at the best photos from Anne's day out…
Princess Anne was given a warm welcome by RDA UK Chair, Helena Vega Lozano, and Chief Executive, Michael Bishop, as she arrived at the university and college in Gloucestershire.
After their meeting, Ms Vega Lozano revealed that Anne, who had a bruise under her left eye, had gotten out of the car at the start of the engagement and immediately admitted: "I can't remember a single thing about it."
"It's a huge honour for the Princess to come to the RDA as her only event since the accident," Ms Vega Lozano added. "It's hugely motivating and inspiring to have her here."
Ahead of the royal visit, Mr Bishop had said: "We are honoured to welcome the Princess Royal to our flagship event the RDA National Championships, at which we are celebrating our 55th anniversary and delighted that she has chosen to join us as she returns to royal duties.
"As our President, the Princess holds a very special place in the hearts of the entire RDA community and has helped us celebrate many significant milestones and provided invaluable support for over five decades."
Seated alongside RDA UK Chair, Helena Vega Lozano, Anne, a former Olympic equestrian, joined supporters in the arena who were cheering on the equestrian competitors.
The RDA National Championship is the biggest equestrian event of its kind for disabled competitors, held over three days at Hartpury University and College.
Competitors take part in dressage, vaulting, endurance showjumping, carriage driving, performance showing, and Countryside Challenge classes.
The event showcases the RDA's role in supporting disabled people to access physical activity and sport.
Anne also had a chance to speak to a range of people at the event.
Afterwards, Michael Bishop, chief executive of the RDA, said: "We're delighted that she was able to make it. Her commitment to the RDA is really welcome and well known.
"The Princess was on super form. It was lovely to see her again. She was very engaged while talking with all the volunteers and participants and there were a few quips thrown in, too.
"She was very switched on and recognised many of the volunteers because she had met them before."
What happened to Princess Anne?
Anne spent five days at Southmead Hospital in Bristol after being injured at her home estate, Gatcombe Park, at the end of June.
HELLO! understands that the Princess was out walking within her estate when the incident occurred, resulting in her sustaining minor injuries to her head and a concussion.
While the exact cause of Anne's injuries was not confirmed, it's understood that her head injuries were consistent with a potential impact from a horse's head or legs.
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