Assuming you're being serious here: tweeting about the time she put a cocky man in his place is deliberately (and, maybe, justifiably) antagonistic. Kicking hornet's nests and finding hornets isn't a "being a woman" thing, it's a kicking a hornet's nest thing.
She didn't even "put him in his place", it was his choice to be annoyed about it. If he were actually intending to compliment her, he might've found her reply humorous, but not annoying.
> tweeting about the time she put a cocky man in his place is deliberately (and, maybe, justifiably) antagonistic
Are you referring to the bit where a man told her something and she agreed with him? That's what you are calling deliberately antagonistic?
And she was even polite enough to let him interrupt her, yet she still agreed. Did she owe that man something more than what she already accommodated him with? I wonder how nice some of the people here standing up for that guy say when a homeless person interrupts their day?