Renowned is a designation that has no rules meaning other than to act as a marker that the renown ability and other spells and abilities can identify. Only permanents can be or become renowned. Once a permanent becomes renowned, it stays renowned until it leaves the battlefield. Renowned is neither an ability nor part of the permanent’s copiable values.
May 3, 2019 · War of the Spark
The controller of a spell with awaken chooses the target of the awaken spell ability only if that player chose to pay the spell’s awaken cost. Otherwise the spell is cast as if it didn’t have that target.
January 25, 2019 · Ravnica Allegiance
The controller of a spell with awaken chooses the target of the awaken spell ability only if that player chose to pay the spell's awaken cost. Otherwise the spell is cast as if it didn't have that target.
September 26, 2015 · Battle for Zendikar
The controller of a spell with awaken chooses the target of the awaken spell ability only if that player chose to pay the spell’s awaken cost. Otherwise the spell is cast as if it didn’t have that target.