I'm trying to add a shapefile to a feature dataset within an enterprise geodatabase. The file I'm adding has an identical spatial reference as the other feature classes in the feature dataset. When I run the Feature Class to Feature Class tool, however, I get the same error:
ERROR 000210: Cannot create output Database Connections\Connection to ...
Must be the owner to perform this operation
Failed to execute (FeatureClassToFeatureClass)
Below is a screen shot of the Feature Class to Feature Class tool:

I've talked with our SQL Server database administrator who informed me that I am part of the AD user group with DB Owner permissions.
I'd appreciate any input why I'm not able to import data to my enterprise GDB.