Parker finished second at the 1993 UK Championships in 57.14, behind Gowry Retchakan. She then won the AAAs title with a time of 58.14, earning selection for her second World Championships. At the 1993 World Championships in Stuttgart, she ran 56.93 in her heat to reach the semi-finals, where she was eliminated running 56.68. She then finished second at the 1994 AAAs Championships, once again behind Retchakan, 57.14 - 57.31, to earn selection for the 1994 European Championships in Helsinki. At the Europeans, she was eliminated in the heats with 57.83. A few weeks later, she reached the final at the Commonwealth Games in Victoria, finishing sixth in 56.72.