In the personal info section of TurboTax (TT), you will be asked what is your state of residence. Answer SD. When you enter your spouse's personal info, you will be asked her state of residence. Answer PA. TT will generate returns for both states and can handle this situation.
But, at your other post, you say " I'm a homeowner in PA and working (w2) in PA filing jointly". That, alone indicates that you are a PA resident for tax (and most other) purposes.
