Delete the new Admin user and create another with a different name.
If you want to import your files, you can, but depending on what you have to move, it may be difficult to get everything correct. But, changing the name on the other account may run into the same problems as you may get with copying the files.
In order to move the files, you need to give your new user read access to the old home folder. You can do that in Get Info, Sharing & Permissions.
Get Info on the old home folder and click the padlock under the Sharing & Permissions section to authenticate.
Then, click the + button and add your user. It should set it as read only. That is fine unless you want to just Move the items instead of copying them. In that case you would need to change it to Read/Write.
With the permissions set and logged in as the new user, open each of the subfolders of the old home and copy/move the files from the old account into the same folder of the new account. To move instead of copy, use cmd-opt-v instead of cmd-v. Or, hold down Command key when you drop the files via drag and drop.
I wouldn't bother with the Library, but that would require you configuring apps and accounts again. Some things you might want to try to copy:
- Application Support
- Calendars
- Mail
- Preferences
- Any application specific folders
If you have created any of the following or added items to the folders:
- Workflows
- Services
- Sounds
- Audio/Sounds/
- Scripts
I'm not sure if the the keychain can be moved. You could try. You'd have to use Keychain access to add the new keychain, change the password, and then set it as the default.
If that doesn't work, you may have to just start over. You'll need the old password from your old user account to change the password.
If the Library folder isn't visible in the old home folder, you can get to it using Go To Folder… in the Go menu.
The path to the old home Library will be /Users/<oldNamedFolder>/Library.
You can open your new account Library by holding down the Option key and selecting Library from the Go menu in Finder.