You do realize that it is fully possible to enjoy problematic media while still admitting that they're problematic, right?
Quoted for posterity. Anita Sarkeesian does have an in-depth knowledge of games, and I'd wager that is because she likes many games. You wouldn't try to fix or critique something that you don't like. The opposite of love isn't hate, remember; it's indifference. And although she may not be a prolific "gamer", to use the term, she is a member of the gaming industry. Books and movies both have been held under similar scrutiny before. What she's doing is nothing new and in fact benefits the gaming industry, propelling it forward into more balanced portrayals of gender.
Personally, I don't argue for censorship of the Internet, because I'm usually opposed to censorship of most kinds and that's a whole different kettle of fish altogether. However, I would entreat and ask people to stop sending her death threats. Certain mods of behaviour are unacceptable in all forms of social interaction, and that includes sending death threats online. The Internet needs to pause and reevaluate its parameters and paradigms of typical, online interactions. For example, the trolls bandying Zelda Williams to release details about her father's death, sending her death threats and photoshopped pictures of her father's corpse, was too far and had forced her off social media. While Anita Sarkeesian hasn't done that yet, she has received photoshopped images of her, and I don't think that's appropriate. If you wouldn't do a certain act in real life, then don't do it on the online either.
Why? It makes the Internet look bad. All of us have blood on our hands and mud on our faces whenever somebody threatens to slice Anita Sarkeesian's throat. These actions malign us further and do not ameliorate the common perception of the Internet as a nefarious place. For the sake of making us look better, we should behave like adults and try to refrain from malicious and borderline illegal threats.
That's my two cents on this matter.