While I agree that its not good to make these threats, does anyone take a bunch or gamers sitting in their mothers basements seriously when they make these threats?
"Just block them", it's easy when there's one or two accounts being dicks. It's much more difficult when 4chan's recruited 50,000 accounts to be dicks.
At some point, and I'd personally argue that that point was a few years ago now, you take the gloves off and start eighty-sixing the bad actors.
(She, of course, did take it seriously; she crashed on friends' couches for a few weeks while she found a new place to live. And she is not the only one by a long shot; this is totally a just and equitable punishment for being a woman on the Internet, though, I guess.)