/cgl/ - Cosplay & EGL

I was reading through some comments here on cgl and came across a couple of abbreviations and terms I've never heard before. Looking them up eventually led to various boards about gender critical stuff. And I can't really help myself but feel completely lost in all the topics that are being discussed there, let alone understand what the exact goal of these gender critical circles are. Is it conservate? Is it progressive? Is it rather onesided or equally critical? Do I have to feel bad now for going out wearing lolita as a guy, eventhough I try to bother as few people as possible and stay respectful? Is it even worth it at all to bother with understanding these things?