The 25-year-old will face Slovenia's Polona Hercog, 90th in the rankings, in the third round.
Elsewhere Wednesday there was a shock in the last 16 when Romina Oprandi of Switzerland beat former world number one Ana Ivanovic in straight sets to progress to the quarter-finals.
Oprandi, who received a late entry after Serena Williams withdrew just two days before the start of the tournament, defeated the eleventh seed from Serbia 6-4, 6-3.
"I really struggled to find my rhythm out there today, especially on the forehand," Ivanovic said.
"The ball was coming without much pace and I wasn't really efficient moving forward and taking advantage of that," she added. "It was the unforced errors that made a big difference."
Ivanovic's compatriot Jelena Jankovic was also knocked out, losing to Spain's Carla Suarez Navarro 7-5, 6-4.