Married to non-US citizen who lives abroad. How should I file my taxes? (She does not have SSN, earns money and pays taxes abroad, is not going to file taxes in US)

Hi,

I am married to a non-US citizen who lives abroad. She works there, earns money there, and pays her taxes there. She does not have an SSN or ITIN because of that and she is not going to file taxes in US since she did not earn anything here. In this case, how should I file my taxes? Married filing separately? If so, the turbotax requires me to enter her SSN or ITIN and I don't have it. How should I continue?

Thank you very much!