theology vs subject field

theology and subject field both are nouns.

Word	Noun	Adjective	Verb	Adverb
theology	Yes	No	No	No
subject field	Yes	No	No	No

As nouns, subject field is a hypernym of theology; that is, subject field is a word with a broader meaning than theology:

theology: the rational and systematic study of religion and its influences and of the nature of religious truth
subject field: a branch of knowledge

Other hypernyms of theology include bailiwick, discipline, field, field of study, study, subject, subject area.

theology (noun)	subject field (noun)
the learned profession acquired by specialized courses in religion (usually taught at a college or seminary)	a branch of knowledge
a particular system or school of religious beliefs and teachings
the rational and systematic study of religion and its influences and of the nature of religious truth