Women have made up around 39% of the global labor force for the last 30 years. Recent research at the McKinsey Global Institute has found that automation will displace men and women equally, however, women may have a more difficult time transitioning into new jobs due to the obstacles that exist for women in the workplace. Because labor fields are so often segregated by gender, and most of the new jobs that are being created are in traditionally male dominated fields, women may have a more difficult time finding new job opportunities and remaining employed. The key to attaining job opportunities for women in the future will be the acquisition of skills- the majority of jobs moving forward will require advanced degrees, especially in STEM fields.
See "Will Automation Improve Work for Women — or Make It Worse?", Anu Madgavkar, Mekala Krishna, Kweilin Ellingrud, The Harvard Business Review, July 3, 2019