Q. What should I do if I am citing a newspaper article in Chicago style and the article does not have an author?

According to the Chicago Manual of Style, 17th edition, section 14.191, you should format newspaper citations for newspapers to the corresponding elements for the magazine guidelines. 

Basic format for a Newspaper citation:

Author, "Title of Article," Title of Newspaper [in Italics], date.

If there is no author for an article, you should begin the citation with the title of the article.

Example:

“Up, Up, and Away,” Oregonian, September 15, 2016.