Subjective guilt requires a judgement to be made with the belief that one is actually guilty. Subjective guilt is associated with a feeling of responsibility, which leads to it often being seen as an irrational sort of guilt. This does not mean one can not be actually guilty of something when feeling subjective guilt. Objective guilt is the action of breaking a law or rule provided by a higher position. Once this is done you are objectively and factually guilty. Objective guilt is more fact based than Subjective based. Subjective is the breaking of ones personal moral codes, and Objective is the breaking of society's moral codes.
The situation at Central High school might have been different if Webb and other white students had regarded Eckford as a “kid” much like them because Eckford would feel more comfortable going to school without getting judged by other white students.