Complex sentence: In 1925 she contested two matches against Edith Price, winning both of them, and she was considered the strongest lady player in the country; as she was not British she could not enter the national competition.
Split into simpler sentences: In 1925 she contested two matches against Edith Price, winning both of them, and she was considered the strongest lady player in the country. But as she was not British she could not enter the national competition.