The article's headline is a little misleading. It is only referring to college graduates that are "underemployed," i.e. have a job not requiring college-level skills in general, as opposed to a job that is unrelated to their major.
Your case would not count as underemployment (of which examples are office support, retail sales, food service).
Your case would not count as underemployment (of which examples are office support, retail sales, food service).