I've been keeping too close an eye on the various wars happening at the moment, and it's bringing me down. I think it's important to understand what's happening, why it's happening etc, but there's a limit to how much you can take in and stay sane. I've been trying to find other things to focus on, but it's hard to say "oh all these dead children are upsetting me, I'll just not allow it to bother me while I live my life of relative privilege". Having said that, my problem is a lot better than those of Gazans at the moment. But does that mean I can't get worn out and depressed from following these events? It's just horrible for everyone, no matter how you dice it.
If current events didnt wear you down emotionally, there'd be something wrong. What is going on in Gaza is horrifying and anyone with empathy would be disturbed and depressed by it. Being emotionally exhausted by it doesn't mean you are priviliged, it means you're human.