I strongly suggest you leave off the second paragraph and don't express annoyance. I'd also avoid "very clearly" as it has a scolding tone. Students aren't perfect. Accept it.
And, a second paragraph should remind them that the time is getting late to work on the next essay. Suggest they get to work on it.
I'd think you would be more successful overall with students like this to take a somewhat tolerant attitude and laugh at their marginal/poor behavior.
I agree that there may be sexism in the student's note. But it could also be that they are just "full of themself" oreor are socially awkward. Even autistic people might respond like that having little natural sense of social norms. Take the high road so you don't get stuck on the low.