You will need to create a new Apple ID with a new email address. You cannot reuse the email address of the Apple ID which you deleted.
This is explained in the FAQ at the foot of the support document called How to delete your Apple ID account - Apple Support
Can I use the primary email address for my deleted Apple ID account to create a new Apple ID or with another existing Apple ID account?
No, once your Apple ID is deleted, you can't use the email address that you used with it to create a new Apple ID. In addition, you can't use that email address with another existing Apple ID except as a rescue email. Also, if your primary Apple ID email address is with a Custom Email Domain, it can never be reused to create an Apple ID after your Apple ID is deleted, even if the domain ownership changes.