In 1953, Anstey was selected for the England girls team for their annual match against Scotland, played before the
Girls Amateur Championship. It was played at
Woodhall Spa, England winning 4–3. In 1955 Anstey played for the English team in the
Women's Home Internationals. She won all her three matches. England and Scotland tied their match but Scotland took the title with better results against Ireland and Wales. Anstey was selected as part of a British women's team that toured Australia and New Zealand in the second half of 1955. Because many of the senior players were unavailable, the team turned into a team of five juniors, aged between 18 and 21. Anstey had a successful tour, winning the
Victorian Women's Amateur Championship, the
Australian Women's Amateur and the New Zealand Women's Amateur Championship. The tour was such a success that the team was awarded the Association of Golf Writers trophy, the first time a team had won the award. At the end of March 1956, Anstey was selected for the Curtis Cup team. Britain won the match 5–4, their second win in the event. Anstey lost her foursomes match and was not selected for the singles. Anstey also played in the
Women's Home Internationals at Sunningdale. In 1957 Anstey played in the
Women's Home Internationals and then reached the semi-finals of the
Women's Amateur Championship, losing 4&2 to
Philomena Garvey. Anstey has been involved in a car crash after the 1956
Women's Home Internationals. She had made a recovery but suffered from back pain. In 1958 she announced that she was reducing the amount of golf she would play, effectively putting an end to her competitive career at the highest level, although she continued to play golf and be involved in the administrative side of the game. ==Personal life==