Apple ID
My Apple ID has been compromised but I don't have another email address to change it to??
iPhone 8 Plus, iOS 12
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You can get another email address from Yahoo, AOL or possibly your email provider.
You might want to consider changing your password and making sure it is a strong one. You can also add 2 Factor Authentication to your account for more security.
Note the restrictions in the article.
What to do after you change your Apple ID or password - Apple Support I suggest doing this before you change your Apple ID or password.
Apple ID -Two-factor authentication
Two Factor Authentification availability
Apple ID - Using app-specific passwords
Apple ID - Two Step Verification App Specific Passwords