Hi there,
You would be able to change the email from the Learning / Certification Dashboard. The badges/certificates will get unassigned the alerts will be sent directly to the new email where you will be able to accept the badges and store in your Credly profile.
You will also have to update your linkedin and other areas where you had previous shared those badges. It will not work unless you have added the same email in Credly as well.
All the best!