Is the login into Fanpage Karma only possible with Facebook? What if I do not want to use the email associated with my Facebook account?

To use Fanpage Karma you need to login with your own personal Facebook profile or with the email. You can set up an email address and a password in your profile: https://www.fanpagekarma.com/settings?view=PERSONAL

All reports, notifications and newsletters will be sent to your Facebook email address. You can change the recipient address here if necessary: https://www.fanpagekarma.com/settings

The Facebook login is the only way to log in.