I mean, this isn't quite a misconstrual. The author of this tweet just comes from a bizarre subculture where "puberty blockers for kids" is not only good policy but self-evidently right. I'm sure it's legitimately challenging for her to understand what Rogan is saying - such a large inferential gap is hard to cross.
It's that those masquerading as progressive have a penchant for misconstruing in the most creative ways: https://twitter.com/sadydoyle/status/1220513471995031554