DON’T: Tone-police. Does she sound enraged, impatient, and bitter? Is she not being especially nice to all the people who have Tweeted at her to explain sexism, ask her how to solve sexism, or otherwise undermine the things she is saying? Too bad. You wouldn’t be nice either if you lived in a system which consistently conspired to remove your authority and devalue your work. No matter what happens, you are not the victim in the situation — do not re-center conversations on yourself and your needs and emotions by pestering angry women to talk more nicely to you.
Did she hurt your feelings? You’ll live. Ditch the passive aggressive “fair enough” and “I was merely trying to” and “as you wish” and all of this, leave her alone, and consider your obligation to be part of the solution to a system that has harmed her and made her angry. If you think women, particularly women who are public figures, should feel an equally-important sense of obligation to make you feel good about yourself while they are under stress, congratulations: You are part of the problem.
That is just a snippet from the very excellent guide: “But WHAT CAN BE DONE: Dos and Don’ts To Combat Online Sexism,” by Leigh Anderson.