When asked to select the employer type on your W-2/1042-S form, you have to select the option that best fits your case.
For example if you income is from a university/college and you had a scholarship or a part-time job affiliated with your school, you should select 'College, University or Other Educational Institution'. If the income is from employment, for example an Internship or a full-time job, you should select 'Company'.