Google Searches Showing domain.altervista.org instead of purchased domain.

Dear Altervista

I can be seen on google which is great and I pop up first for searches such as "y scap image position and malposition in radiography" which is even better. However the search result displays radiographershideout.altervista.org instead of simulationradiography.com.

Is there something I can do to change this? Dumbed down instructions would be great please.

Thanks

Chris

The actual contents are on the third level .altervista.org domain and the second level domain works as a redirect. Because of that the search engines will unlikely show in the address the second level domain.