She left in quietly, not to be seen, returning to her house in Gatcombe Park.
On Sunday, when the 73-year-old was strolling about the Gloucestershire estate, a horse ran into him.
Vice Admiral Sir Tim Laurence, her spouse, complimented the Bristol medical team who treated her.
“I would like to extend my warmest thanks to all the team at Southmead Hospital for their care, expertise and kindness during my wife’s short stay,” he stated.
He was saw on Tuesday carrying “just a few little treats from home” in a navy bag as he entered the hospital.
Zara Tindall, Anne’s daughter, paid her a separate visit that same day.
Her medical team believes that the injuries were caused by a horse’s head or legs, though exact details are still unknown.
When the incident occurred on Sunday night, an air ambulance was called, but the princess was treated on the spot and then driven to the hospital.
She has received a “swift recovery” wish from Prime Minister Rishi Sunak, who also stated that everyone is “immensely fond” of her.
A “speedy recovery” was also the hope of Labour leader Keir Starmer for her.