When attempting to fill in the portion manually for state tax it gives no option for Tennessee but it requires that something be there

TN has no state income tax.

Several  states do not have a state income tax.  So these states will not show up in certain drop down lists.   Leave boxes 15, 16, and 17 blank when you enter a W-2 for these states.

Alaska, Florida, Nevada, South Dakota, Tennessee, Texas, Washington and Wyoming