Woad shot a 7-under 64 at Evian Resort Golf Club to reach 11 under after two rounds. She made eight birdies, including three straight after her only bogey on the 10th.
Korda shot 74-69 to finish at 1 over, one stroke outside the cut line. Aki Iwai sits second at 10 under, with Mao Saigo and Haeran Ryu tied for third at 8 under.