She's not facing criticisms (threats are hardly criticism), she's overreacting and her article is missing the point about why people hate her character.
There are hundreds of actors, writers, musicians, sportsmen (how about politicians) who receive mails like that on dialy basis but only one thinks she should start some crusade for "strong women". That's the ridiculous part.
Just imagine the kind of things George R.R. Martin has to get on his mail lol.