The domain name pid-productions.com is registered under that blog.
For you to delete it, I will either need to move the domain to another WordPress.com blog or cancel it.
Canceling a domain after 2 days of purchase means you completely give up ownership of the domain. There is no guarantee the domain will become available to re-register after cancellation.
You are welcome to keep your domain with us and update the nameservers to point to another hosting provider by following this guide:
After 60 days from the date of purchase or registrant contact information change, you may also transfer your domain to another registrar.
If you would like to completely cancel your ownership of the domain name, please reply to confirm.