Here is a stupid

“Every woman needs a man who will ruin their lipstick and not their mascara.”

Since the writer said “woman,” why couldn’t she/he say “her” and not “their?”

This is from a newly-begun story, Travels with Baker:

“He took a breath and let it out noisily. She’s dead, I’m dead, the robber’s dead. Well, I was dead. Still am, as far as the other me is concerned. I get dead and then I wake up here, what, five days ago? Four walks ago, five at sundown today. Five days ago and I haven’t seen man or beast. Or woman, either. He laughed. Maybe I don’t have to consider any gender non-identification any more. Maybe I can use the gender non-specific pronoun “he” in conversation. Maybe I won’t hear anybody refer to one person as “they.” Aaaanndd maybe I’ll find out what I’m supposed to do here.”

(Yes, that is the way I will realize return to grammatical sense. Not long ago I said to my wife, “One of these days I will wake up and nothing will hurt.” She said, “You will be dead.”)