OMG at some of these comments!!! You DO realize that TennCare IS Blue Cross Blue Shield of Tennessee, right?! Anyway, TennCare is just the name of the BCBS plan that you are on. You don't have to be financially disadvantaged for an insurance company to call you with an automated message reminding you to stay current on your check-ups!
It's not a finance department or bill collector!!!
Calm down & hit ignore! Or better yet, send them an email and ask them to take you off their calling list. FYI, the DNC list doesn't apply if you agreed to receive calls (probably from checking a box or "initialing here" without reading the entire statement) from a company whom obviously provides health services to you.