Originally Posted by Katie1
It will Show BUT wont download! So just tap & Delete from Carosel. It will go to Cloud IF its not downloaded to your Fire.
But the question was how to get rid of the annoyance of it appearing on the carousel. Whether it downloads or not, you can still tap and delete it, but it is still an annoyance to have to do so.
I think the only actual solution would be to use different accounts, or get rid of the carousel entirely by using a different launcher. (Not a very elegant solution if you happen to otherwise like Amazon's UI.)