I think women do experience more gender based adversities, but I worry framing it like that creates an "us and them" situation between genders. We should fight inequality wherever it exists.
It also misses intersectionality. Not all men are advantaged over all women. A man born in poverty, violence, with a disability, or of a marginalised race, isn't automatically better off than a rich white women born to a good supportive family.
Yes this! Do a trial with each one and see which class she likes better. It might come down to the teacher, the other students, or any number of other factors that aren't the style of martial art.