People go digging, usually pretty hard, to find insults to use as capital in whatever point they are trying to make. In this case, yes, she received a lot of criticism and ad-hominem attacks for her correct answer. But she wasn't really criticized for being a woman, despite it being repeated multiple times in the article.
Look at the given list of people who wrote her angry letters and what they wrote:
Ph.D
Ph.D
Ph.D
Ph.D
Ph.D
Non-doctorate professor?
Don Rivers from Sunriver Oregon who made a sexist remark.
Why is a comment from Don Rivers given so much weight? Who the fuck is Don Rivers from the town of 1,400 people in central Oregon? Man or woman, if you receive 10,000 hate letters from the general population, you can surely find whatever criticism you want if you dig hard enough. But why pay attention or give any weight to these absolute nobodies?