E-goi makes this pretty easy. If a contact asks you to be forgotten, simply:
1) Click the "Lists" menu to go to your lists page.
2) Hit the options button on the upper right corner (right alongisde the "Create list" button) and choose "Search contacts". Type in the contact's email address (or their mobile or phone) and click "Search".
3) E-goi will return any lists where the contact has been found. Click "View contact" to edit their profile and hit "Forget this contact as per GDPR".
That's basically it! In 30 days we'll empty out all their data (name, email, etc.), including any other fields (postal address, customer code, etc.) the list may feature. We'll also switch their status to "Removed" so they won't receive any further E-goi mailings from you. Their contact profile won't show any of their E-goi action history (opens, clickthroughs, etc.) either, as per GDRP privacy rights. If you also got the contact's data stored outside E-goi, wipe it out permanently as well, as their right to be forgotten means absolutely none of the contact's data should remain with you.