Alma mater (USA) refuses to remove my name from public search
In the United States, educational records - including the fact of your enrollment in this particular course - are protected by the Family Educational Rights and Privacy Act (FERPA). 

FERPA prohibits disclosure of personally identifiable information from education records without the student's consent (except for directory information, which class enrollment is not - and you also have the right to limit disclosure of directory information, on request). 

You can contact the professor and insist that he remove your information from his site, as he is illegally disclosing course enrollment without your consent. You can also find out who fields FERPA complaints and questions at that university (typically the registrar's office) and ask them for help in limiting disclosure of your education records. If this doesn't help, you may file a FERPA complaint here.