Named after a river in Scotland, she was transferred newly built from the RN to the RCN at Aberdeen on June 13, 1944. On completion of workups at Tobermory, she joined EG 6, Londonderry, for patrol and escort duties in U.K. waters. On October 16, 1944, while on A/S patrol south of the Faeroes, she sank U 1006, rescuing 46 survivors. In April, 1945, EG 6 was transferred to Halifax, but Annan sailed for the U.K. on May 29 and was handed back to the RN at Sheerness on June 20. That November she was sold to the Dutch Navy and re-named Niels Ebbesen. She was broken up at Odense, Denmark, in 1963.