I've been reading a few articles on gender-scepticism to try and see the other side on the subject. Just a little heads up I'm a cis lesbian and to me gender is real but I would like to understand both sides a little better to see where there might be common ground. I think the topic definitely relates to being lesbian because to me it is a matter of broadening or limiting the term but if this post is still considered a violation of community rules about posts solely pertaining to lesbian matters I understand. If you have subs to point me to that might be a better place to post my question I would be very grateful.
So here goes. One argument that I've seen very often is that acknowledging gender in addition to sex is that said acknowledgement would - as far as I've understood- erase sex altogether and thus 'sex-based' rights, especially for women. A very pervasive fear seems (to me) to be that in order to infringe on those rights cis men (as far as I understand those making this argument sometimes claim that this isn't about trans people but cis men exclusively sometimes it seems to be about both) could seek to transition in order to take these exclusive rights away from women. So I've wondered what these rights might be to understand where this might take effect. I understand to some degree where the fear of cis guys trying to take away our rights comes from but I've so far not been able to see where trans women would be culpable in this. And to understand this I think being able to name and identify those rights would help a lot.