I assume that you changed your primary email address on your account at some point in the past when you remembered its password (?), or is the problem that you are having is that you know the current password but it's not accepting it ?
If you have a rescue email address on your account then reset emails will be sent to that email account, not to the primary email address.
You should be able to reset your password by answering the account's security questions on http://iforgot.apple.com
If you can't then contact Support in your country, after confirming your id and that it's your account they should be able to reset the password (and security questions) : Contact Apple for help with Apple ID account security
If you have an out-of-date rescue email address on your account you can then update it : Manage your Apple ID email addresses - Apple Support
Or change to 2-step verification : Frequently asked questions about two-step verification for Apple ID - Apple Support