You cannot use TurboTax for a stand alone state return. Information flows from the federal return to the state return. The IRS is not accepting 2020 returns until February 12, and a state return cannot be accepted until the federal return has been accepted. Maybe you just need to chill for a a few days and finish your return where you started it and prepare the state there when they allow it.
And.....the MN rent form has to be mailed---it cannot be e-filed even it the software helps you prepare it.