I think a poster on the escapist forums but it most succinctly: "The gaming community is being bullied for profit".
The gaming community is being singled out for being misogynist, over the film/tv industry, over the music business, over religious groups, because they are a relatively easy target who won't put up as much of a fight. While it's almost certain that Sarkeesian has received threats, let's be honest, they do not carry anywhere near the same weight as those which would come from, say, a religious group who was called out for being conservative. Gamers also lack the PR money to respond, which would be readily available to entertainment companies. Overall, it's a fairly safe group to criticize.
I'm sure that misogyny exists in video games, but no more (and I would argue to a lesser extent) than that seen in general society and other forms of entertainment. Yet Sarkeesian and her backers have launched what amounts to an internet crusade against the most counter-cultural -- and I would argue visibly progressive -- media industries.
Her videos present selectively chosen examples from several video games, purporting to show that games are actually hateful towards women. Many of us have played several of these titles, and can judge how exaggerated such claims are. Indeed, using Sarkeesian's techniques, it would be perfectly possible to go through these games and more, and selectively picks clips and examples "proving" that games and the gaming industry promote animal cruelty.
Yet no-one makes the animal cruelty argument about video games. And the reason is I think obvious -- The misogynist argument makes more money. Sarkeesian has been backed to the tune of $150,000 to makes these videos. Sites like Kotaku generate huge ad-revenue from the inevitable click-bait headlines which follow from these exaggerated claims. The more games who take the bait, who defend their hobby from these accusations, the more revenue goes to the people making and promoting them.
This does not represent a genuine feminist movement. This represents a business model. Gamers are being singled out and bullied -- over religious conservatives, over music video directors, over corporate policies towards women -- because gamers are an easier and more lucrative target. Gamers are "hate-baited" with very, very ugly accusations painting them as haters of women, so that their predictable responses can be farmed out to ad-servers and marketing firms. Bullied; for profit.
I've played video games since 1990; I do not hate women; My hobby does not hate women; The vast majority of people who play video games do not hate women. Please, Sarkeesian's of the world, turn your attentions to the people who do.