Princess Anne’s son Peter Phillips took a date to a horse-riding event just weeks after splitting from his long-term girlfriend. This weekend, Peter Phillips was photographed hand-in-hand with NHS nurse Harriet Sterling at the Badminton Horse Trials. On Saturday, the couple watched horse riding from a sponsor’s tent with Phillip’s two daughters, Savannah 13, and Isla, 12. The next day, Phillips and Sterling looked in good spirits as they stood in a group and chatted with Queen Camilla. A friend of Phillips said that the royal had “recently” met someone and that they had been “spending time tog…