What college are you attending?
I think an important concept when considering challenging another person on their beliefs, especially a teacher, is sphere of influence. Does this lecturer have any good reason to listen to you? If the whole class protested that might work - but I had professors with these types of beliefs in undergrad and they were just as intent on proselytizing their students to unbelief as I was about believing. They were not going to budge.
I found her whole CV on google - which includes talks like “The Dangers of Absolutism” - so she is obviously a relativist in some sense of that word.
Also, her book “What’s Divine About Divine Law” apparently makes the following argument:
Christine Hayes shows that for the ancient Greeks, divine law was divine by virtue of its inherent qualities of intrinsic rationality, truth, universality, and immutability, while for the biblical authors, divine law was divine because it was grounded in revelation with no presumption of rationality, conformity to truth, universality, or immutability. Hayes describes the collision of these opposing conceptions in the Hellenistic period, and details competing attempts to resolve the resulting cognitive dissonance. She shows how Second Temple and Hellenistic Jewish writers, from the author of 1 Enoch to Philo of Alexandria, were engaged in a common project of bridging the gulf between classical and biblical notions of divine law, while Paul, in his letters to the early Christian church, sought to widen it.
So - she views following divine commandments as being in opposition to truth, rationality and universality. Of course - not believing in God probably inevitably results in this conclusion. If only she believed Job was written when it actually was - or that he actually lived - she would understand that from the beginning God followers have expected God to be rational, but also understood that it is better to know Him than to know why He does all that He does.
She also seems to have strong ties to the Jewish community - though I am not sure whether this is simply a result of her area of study or of some sort of personal history.
My tentative recommendation would be to avoid direct confrontation with the professor, ask good questions in class, reach out to any fellow students who seem open to truth and read some good books to counterbalance such an uneven perspective.
My personal recommendations would be:
The Canon of Scripture by F. F. Bruce
Paul and the Faithfulness of God by N. T. Wright
May the Lord give you wisdom to be a light in the darkness!