Counteracting Female Anti-feminism as a Man

I recently got into a debate on Facebook with a woman who identifies very strongly as anti-feminist and who argues that 90% of what feminism does is detrimental to society.  Although she advocates for gender equality and stiffer penalties against those whose commit violence against women, she considers most of the movement to be ridiculous.  She also had this to say:

“I’m not marginalized anymore. I am a woman. I do not fucking belong to a marginalized group anymore.”

I just want to know how, as a man and therefore a member of the privileged class, I should go about tackling these issues appropriately.  I mean, if she says she is not marginalized as a woman, it would be very paternalistic of me to deny her lived experienced.

There is the argument that I should not engage in these arguments at all for this reason.  I’m mindful of some recent cases where members of a privileged class claimed to advocate for a minority’s rights but completely ignored their voices and thus further marginalized them.  However, it also didn’t feel right to just ignore the very powerful anti-feminism, since I believe that feminism is very, very important to our society.

So what should I do in future cases like this one?  Would the differing levels of privilege mean I should simply back away from this topic?  Or was I right to engage her as long as I was careful to respect her lived experience?