Odds are high, though.

"In the United States, approximately 16% to 21% of women aged 14 to 49 have genital herpes (HSV-2). This prevalence is nearly double that of men in the same age group (11.5% to 12%).

HSV-2 Prevalence: Data from 2015–2016 indicates that 15.9% of women in this age bracket were infected with HSV-2, compared to 8.2% of men.
HSV-1 Prevalence: 50.9% of women aged 14–49 have HSV-1 (often oral herpes, though it can cause genital infections), compared to 45.2% of men.
Disparities: Infection rates are significantly higher among non-Hispanic Black women (34.6% for HSV-2) compared to other racial and ethnic groups.
Global Context: Globally, about 12% of people aged 15–49 have HSV-2, with women being more commonly infected than men. "