I was going to say that it's ridiculous for her to get worked up over anything posted on (parts of) 4chan (oh god please don't track me down 4channers), Twitter, or any other imageboard, but the phone call thing is fucking insane. Honestly, shit like that makes me think that there might actually be a good use for the NSA surveillance and drone strikes.
But yeah, regarding the more regular hate, it is just the Internet, and saying that its shittiest spots filled with its shittiest people should affect you because it's the place you work is like saying that the worst, most dangerous part of a city should affect you when you work in a relatively safe and nice part of town. If you venture into the shit parts where you know you're not welcome, or stop and engage with the people running an MRA/Nazi/KKK/we're-assholes-but-free-speech-yo parade through your part of town, well... what else can you expect?
I do understand and respect the fact that she's had a different life than me and will handle and deal with this sort of situation differently, I just personally don't think it's ever worth getting worked up over. Good on her for bringing it up though.