Removing then re-adding your email often fixes login and not receiving email issues.
If your device isn't running Windows 10, refer to the Windows 8 instructions.
From the Home screen, navigate: Settings icon (located in the lower-left) > Accounts > Email & app accounts.
If the Windows Settings options are not visible, tap or click the Settings Home icon (located in the upper-left) to go to the Settings home page.
Utilize the touchscreen (if available) or mouse to select on-screen options.
From the right-pane, tap the account to remove then tap Manage.