Hi Bedouin1,
While your actual email address being cancelled or closed won't impact your Apple services, it can cause problems down the line if you ever need to reset your Apple ID password or forget your account info. One of the options Apple offers to regain access to your account involves verification through a trusted email address.
That said, if you have a new email address, you can change the email address tied to your Apple ID without having to create a new account. See more info here:
"How to change your Apple ID to a different email address
- Go to appleid.apple.com and sign in.
- In the Sign-In and Security section, choose Apple ID.

- Enter the email address that you want to use as your Apple ID.

- Choose Change Apple ID.
- If you changed your Apple ID to a third-party email address, check your email for a verification code, then enter the code. Learn what to do if you didn't get the email.
- If you use services like iCloud or Messages to share with friends and colleagues, sign in to those services with your updated Apple ID."
Cheers!