The Tennessee Secretary of State’s web page has been altered recently. On December 22, 2015, it said that presidential primary candidates can’t be independent presidential candidates in November. But the same portion of that page now (as of December 25, 2015) says only that they can’t be nominees of a different political party; it no longer says they can’t be independent candidates. See that page here.

The page might have been changed because it was pointed out that Tennessee let John B. Anderson run as an independent in November 1980 even though he had run in the Tennessee Republican presidential primary the same year. Also in 2012 Tennessee let Gary Johnson run as an independent in November 2012 even though he had run in the Tennessee Republican presidential primary the same year.