Sorry if we've caused any confusion! When you sign up for a hosting plan, you have to click the one-year signup price of $119, but you won't be charged for two weeks. Your card was only necessary for verification purposes.
You should now retrieve the authorization code from the domain's registrant and use it to finish the transfer at Domains > Reg Transfer in your panel. It should go through quickly since it's a DreamHost domain. If you need to do anything else with the domain from there, you can just follow the wiki I gave you previously:
Once the domain's registration is on your account, if you did not need the hosting plan for email or anything else at all, you can use the "close account/end all hosting" link in your Manage Account page to cancel it, and just choose the option to keep managing the registration only.