I have JUST recently changed my email. I now need to LINK my new one and get RID of my old one which is no longer in use and somehow still connected within my game

I go to my Acc Settings here, and choose to UNLINK. Since I need to LINK my new one. Now I see my only options here is link to Facebook. And Steam is NOT present here at all, for some reason, for me after I clicked Unlink.

Do I need to specifically DEACTIVATE my Account here, to be able to make a linking with my new email now?

I try to click UNLINK within the game, to be able to LINK with my new one, but it does not matter how many times I click YES, when prompted to: Are you sure you want to bla, bla. I click YES, and YES. But nothing happens. The old mail is sticked, and can´t get rid of it.

is it correct of me to specifically Deactivate my Account on this site in order to make my new link within my game (to get RID of my old one) to properly work? I need to be sure of this before I F up.