> When the URL of my website is typed directly into Google,httrack appears in
the place of my site.
> 
> I mean,this,I type <http://the-url-to-my-self-built-uncopied-website>
> 
> <http://httrack.com> appears instead of my site?!!?

If someone knows the URL to your site why would they put it into Google rather
than the address bar? :)

Without having your URL to test on, some thoughts:

- Is your site even indexed by Google?
- Are you using the "I'm feeling lucky" button?  Perhaps your site has
keywords that also brings HTTrack's site up in a search result list, but
HTTrack may be first and therefore Google is forwarding you to the first hit.