what is the name given to the phobia fear of being embarrassed in front of people
The name given to the fear of being embarrassed in front of people is Social Phobia. Learn more about it, and how it is treated at http://familydoctor.org/online/famdocen/home/common/mentalhealth/anxiety/482.html.
Social anxiety is generally the term applied to fear of embarrasment. It also applies to public speaking or just being in public in general.
well there is actually a name for this phobia is called Socianthphobia