I'm sorry to provide Feynman's story in this kind of wrapper. I've just read this in Feynman's book and this link was the first in Google where I found it. Please consider the identity of the blog author irrelevant to the story.
Since you have access to the original - I thought in the original story, the woman says "sir" to the officer. Could you verify that that is not the case, and let me know the publication date of the version you have?
I don't have the "Feynman Lectures on Physics" where the driver and police officer situation originally took place. The book "What Do You Care What Other People Think" I own (audio version, read from 1989 edition) contains the story "Feynman Sexist Pig!" that is reprinted in the blogpost (and it seems to me, completely unaltered) has no clues or hints on the police officer gender in the initial story.