Hi Hide-your-email,
Thanks for coming to Apple Support Communities for help today.
Hide My Email should generating a new random email address every time it is used. Have a look here: What is Hide My Email?
"Hide My Email generates unique, random email addresses that automatically forward to your personal inbox. Each address is unique to you. You can read and respond directly to emails sent to these addresses and your personal email address is kept private.
- If you create an account with an app or visit a website that supports Sign in with Apple, you can choose to share your email address, if you're familiar with the app or website, or hide your email address, if you'd prefer more privacy. If you choose the Hide my Email option, only the app or website you created the account with can use this random email address to communicate with you. Learn more about Sign in with Apple.
- With an iCloud+ subscription, you can generate unique, random addresses from your iPhone, iPad, or iPod touch with iOS 15 or iPadOS 15 or later in any email field in Safari. You can also generate email addresses on-demand in the Settings app or on iCloud.com. Learn more about iCloud+. "
Have you tried managing the addresses from iCloud.com?
"At any time, you can change the email address that receives forwarded messages. Or you can choose to turn off email forwarding to stop receiving messages. You can manage your addresses created with Hide My Email in Settings on your iPhone, iPad, or iPod touch, or on iCloud.com."
If you need further help, please visit Apple Support for a deeper dive.
Have a fantastic day!