You can disable the email you use publicly as a login email.
I would recommend you look at some other guides before you do this but the gist is My Account > Your Account > Manage Account Information.
Then you can add a new email that you do not share as your primary login email, and disable login from the email you use to send emails.
I would recommend you look at some other guides before you do this but the gist is My Account > Your Account > Manage Account Information. Then you can add a new email that you do not share as your primary login email, and disable login from the email you use to send emails.