this adapter allows you to connect an apple device via and HDMI cable to an external monitor. It does not give you any ability to connect with anything over wifi. If the Dish Anywhere app allows you to see your content over wifi, this is great. You MIGHT be able to then send this output to an external screen, HOWEVER, most content over wifi apps have digital rights managment (DRM) that will keep you from piping the content out to an external screen. The DRM is in place to keep you from gaming the licensing / content. You can try it, but it might or might not work (80% against). Your better bet is to see if your dish anywhere app is available on the new apple TV. If so, this WILL work.
Apple - TV - 64GB (4th Generation) - Black
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Apple - TV 32GB (4th Generation) - Black
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