I think you can relax. Most of these stories are not about subtle or accidental sexism. She says her teammate introduced her as a token female. That's obviously inappropriate, right? I don't think I'd need to monitor my words carefully to avoid saying something so outright belittling to a coworker.
She says team members would openly express that they wouldn't hire women because they would just get married. I don't know about you, but that seems like something obviously dated and wrong. Growing up, both my parents worked, and that was the norm. It's been the norm for a long time. Women aren't new to the work force. So why do people think this? In any case, it should be obvious not to say things like this.
Then she says a professor followed her beck to her room and tried to forcibly kiss her. That's something obviously wrong, right? It should be easy to say "I won't follow and forcibly kiss anyone." That's like good manners 101. Basic stuff we learn in 1st grade.
The sexism described here isn't the sort of thing you'd let slip by accident. There's no double meanings here. It's just bare faced disrespect for women. So please, relax. You don't need to walk on eggshells to avoid being a complete jerk.
And if you still aren't sure how to talk to women, I would take the articles own advice: Try talking to them like a person.