Female streamers don’t have that fake obnoxious rage yell/scream the guys do.

Eh, guys with the fake rage scream are about as common as the ladies who see Twitch as essentially a starter camsite/way to advertise their OF and are trading on boobs more than anything else. There absolutely are streamers on Twitch that are exactly what OP suggests, but they're far from a majority and probably not the one used in the picture.

The only "streaming" I can watch are Game Grumps, but I get that's not live, and it's by and for a completely different demographic.

I've tried, but I find a lot of Twitch play-throughs to be low-stimulation, low-information, and low-entertainment. I think they're better suited to a dual-screen kind of situation, but then I'd rather be doing far more engaging things like playing games myself.