I hope you read these responses @PoppyMuldoon . I genuinely think you need to reconsider your initial responses, specially these -
The other side always seem to be minding their own business
I don't know where to start with that one but you must be living under a rock. I assume you've absorbed this view from other people in your social group and have not witness the vile harassment, much of it rapey and sexual, that women get when they step out of line of this subject.
Don’t attend the event and stick your face into those you’re campaigning against
They had an absolute right to be there. If it's an LGBT+ event, it's an event that represents lesbians for God's sake, who at the moment feel like they are being socially coerced into accepting relationships with trans people.
Same if the Klu Klux Klan turned up at a BLM march
The link you made here between these lesbians and Klu Klux Klan is absolutely abhorrent, and don't shy away from it, because it's nothing new to the women here. It's a tactic often used in certain newspapers we've seen that's been used to discredit women. One only has to mention women's campaigners in the same sentence as extremist groups enough times for simpletons to start accepting the link and begin parroting it to others, thinking it makes them sound righteous or knowledgeable.
You know who hates these types of women who stick up for themselves and their rights? It's the far-right, 'get back to the kitchen' type misogynists that these women are being mentioned with. It's the horrible resentful incels who wishes those bitches got what they deserved. We've seen it before Poppy. I remember seeing seriously dark corners of the internet more than a decade ago, maybe 15 years ago. The appetite to shut women up, the appetite to make them subservient & submissive, to make women both the wanting whore (who then deserves to be assaulted for either welcoming or rejecting advances) and the all accepting, validating mother (who is expected to sacrifice herself and her own needs) is absolutely insatiable.