Answer to Won't there be a danger of a "tyranny of the majority" under libertarian socialism? in the anarchist faq.

My own take:

Also its important to see anarchy not as an utopian society where every problem already has an answer. Sadly shitty things will still happen and assholes will still be assholes. Regarding discrimination based on a minority identity, I think an anarchist society atleast gives the oppressed minority the best chances to deal with it, as there is no central power that they have to overcome, they themselves should have similar access to ressources and people having a general libertarian mindset.

Also I would hope people would have acxess to education that made them realize that discriminating against for example queers is absolutely hurting themselves somewhat

In order to protect any minority from a majority you need some kind of systemic power structure in place that can punish or at least disincentize people from discriminating, even when they are part of a majority group.

In your example this power structure would be the first thing the cishets would want take over to opress queers. This would be so much more powerful to oppress minorities than anything they would have in a potential anarchist future.