Just here to throw in my 2 cents here as well. I too have this recent problem. (Things were just fine last night).
Less than an hour ago I was streaming some game, and switched to Don't Starve Together. I'm getting the same error 'cokll' posted a screenshot of.
I too went to access http://dontstarvetogether.com/status/ and indeed there is no server status page. I've tried restarting Steam, restarting my computer, and verifying game cache integrity. No luck.
To see if it was just me, I checked some other Twitch.tv DS:T streams. Not many to pick from, but so far I've seen a japanese streamer and a russian streamer connecting fine. So... Perhaps this is just a East Coast thing? Or USA thing? Or English-speaking-dominant thing? Or a download region thing?
I have no idea. But judging by how many views the 2 most recent topics on the same subject on this forum have in such a short time, there's probably a pretty big group of folks with this problem.
For the sake of data. I'm in the U.S. on the East Coast, in PA, the approximate Philadelphia area, connected to the Philadelphia download region in Steam.