Does using Tor provide anonymity?

When I’m using tor browsers, I am anonymous? I made a post on a forum (using TOR browser), and one user threatens to find me.

It is possible just like that with forum support help, or only government institutions can do it?

On a Discourse forum, there are only two ways someone could identify you: your email address, which is visible only to forum administrators and staff, and your IP address, which is hidden when using Tor Browser.