As far as I can see Apple TV does not support Apple Music (see Apple Music)
Did I miss something?
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Apple Music will launch on iOS, Mac, and Windows on June 30, coming to Apple TV and Android phones this fall. Here is the news you can check. http://www.apple.com/pr/library/2015/06/08Introducing-Apple-Music-All-The-Ways-You-Love-Music-All-in-One-Place-.html