Citations: Using Chicago Manual of Style, Author-Date Variation
There's two types of citations within Chicago Manual of Style: author-date and notes and bibliography (NB). Your professor would like you to use Chicago Manual of Style Author-Date citations in your paper. You can find some helpful resources and guides for Chicago Manual of Style author-date below:
You can also watch this video from Santiago Canyon College, which does a great job of explaining the basics of Chicago Manual of Style citations: