That's the obvious retort, but if you think about it, it's easy. Simply don't do things that imply bad faith (rhetorical questions, irrelevant distraction, drive-by swipes, grandiose posturing—all of which you managed to cram in there) and instead do some things that imply good faith, like taking responsibility and finding common ground.
Rhetorical questions have been used by rhetoricians for thousands of years without bad faith. Whether something was sexist or not when reading an article about a supposed sexist event seems highly relevant, especially when the supposed victims has gone on record saying she didn't think it was sexism.
Am I getting special attention because there is a received wisdom around sexism in segments of the tech community which I'm not acknowledging? I'm not sure how other communities operate, but I've noticed that, basically, if anything negative happens to a woman or minority in the tech community, it is automatically assumed that it was because they are a woman or minority. This situation is a perfect example.
