Sourcing, quoting, and linking is covered in the NYTimes content policy under fair use. See: https://help.nytimes.com/hc/en-us/articles/115014891408-Obta...

I think what wouldn't be covered is reproducing substantial portions of an article, especially if it's done without attribution. Tier 2 publications that fully reprint NYT or AP/Reuters articles are usually doing this via a paid News Service or Content License. See: https://nytlicensing.com/content/new-york-times-news-service...