The second seed withstood a strong start from the former world No.2, who only returned to the sport last summer after having time off to have a baby, before clinching victory in one hour and 39 minutes.
"I think I was fighting, staying focused on every point. That helped me a lot. Plus, I served really well," the 20-year-old told wtatennis.com.
Eighth-seeded Daria Kasatkina breezed through after a 6-2 6-1 win over Alize Cornet, but it was not a good day for three other seeds.
Elena Rybakina was in a tough battle with third seed Caroline Garcia before prevailing 4-6 7-6 (8-6) 7-6 (7-5).
Sixth-seeded Anastasia Pavlyuchenkova was sent home after a 6-4 6-4 defeat to Ekaterina Makarova and seventh seed Elena Vesnina was beaten 6-2 6-0 by two-time Wimbledon champion Petra Kvitova.
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