Yes - and the media isn't accusing Trump of anything here either. They are saying that his administration is chaotic - which it is. They are simply raising questions and doing their job in terms of investigating and being critical. The media doesn't owe allegiance to any politician or policy.

So saying "accused by the media" was a misstep. But the fact that the media even circulated absurd conspiracy theories like that could have been reason for him to discredit the media. But I don't recall him telling anyone to just stop listening to the media wholesale because of that.

The problem with most of the 24/7 media outlets is that they conflate opinion with fact and they think that for any issue there are two equally valid conservative and liberal opinions on the topic. So by circulating the idea that Obama is muslim or not a native born U.S. citizen they give traction to absurd ideas. Trump knows how to play this game, clearly. Now the media is no longer useful to him and is a threat.