Generally when you clone using rman the "target" is the database that you are cloning from and the auxiliary is what you are cloning to.

I suppose you could restore it as the original name and then do an alter database backup controlfile to trace; and then rename and move everything to the new proper place and recreate the control file to point to the right database name and location for all the data files and online redo.

Also make sure that you post to the right forum.