Then, one day, the woman suddenly worked much faster and everything went much easier. At the same time, the man had a much harder time and customers were weirdly stubborn and obstructive. Turns out they were accidentally mailing under each other's name: the woman used the man's name, making customers much more willing to accept her expertise, while the man used the woman's name, making customers question everything he said.
There's a lot of that kind of subtle sexism in our society that goes way deeper than mere equal rights. How can you possibly control customers taking you seriously or not based on your name? Should all women (and possibly people with non-western names, who can run into similar issues) work under fake names?