We'd all survive if Twitter shut down for a short while during major riots. Social media isn't any more important than a train station, a road or a bus service. We don't worry about police temporarily closing those. Common sense. If riot info and fear is spreading by Facebook and Twitter, shut them off for an hour or two, then restore.
Are you trivialising the sisterhood if you dye your hair or have your eyebrows threaded? I'd say the answer to that is no. But equally, it's a perfectly valid feminist thing to say there is a certain amount of attention on a woman's appearance, and I don't wish that to be the focus or a distraction.