Hello Rose,
I think you misunderstood. My point is auto-login, not redirect to login page. Please read my question again above. – User register and User automatically login (get session) without having to type username / password again.
Maybe similar with this plugins: Auto Login User on Register WordPress. This plugin will automatically login your new user after the registration process. https://wordpress.org/plugins/auto-login-user-on-register/ or this: https://registrationmagic.com/auto-login-user-after-registration-wordpress-site/
Regards
