Bremond was the first qualifier this century to reach the women's quarter-finals and she looked out of her depth early on against the five-times Grand Slam winner.
Two seeded players lost in the first round on Tuesday, as number 11 Olga Poutschkova was upset 6-0 6-0 by Angelique Kerber of Germany and number 10 Severine Bremond was defeated 4-6 6-3 6-4 by Alicia Molik.