Unable to Log-in from Steam

I'm using PC. After launching the game from the Steam, I enter the display name and password from the website, but it says double-check you are using Steam account. I checked it. There is no steam link. I even transferred my e-mail to my second e-mail. Just to be sure I didn't use my second e-mail to login or create account before. The transfer went without problem, but I'm still unable to login with my account.

How can I login from Steam?