Most logically electromechanical engineering, you can only be an "engineer" with a master's, if you get a bachelor's, you're referred to as a technician. With a specialization in robotics/automation. As for the probability ? It's really rare for women to become (and stay) engineers for good reason. It's something you have to force interest in and requires dedication. But I don't see why she couldn't be, especially since she comes from a wealthy family, so she was probably taught how to be disciplined early, and has the time.
As for her referring to a lab, maybe she's doing work in early R&D.