The IRS will stop accepting e-filed returns soon after October 15 so if you wait, you may have to file by mail.
You can file a married filing separate return for yourself (not single) and e-file an amended 2020 return once your wife gets her Social Security number. See How to I amend my 2020 return?
Amend 2019
You should amend your 2019 income tax return. Married taxpayers can file married filing jointly, separately or in some rare cases as head of household if they support dependent children.
If you are married on the last day of the year, you cannot file single.
To amend your 2019 return in TurboTax see How do I amend my 2019 return?
You can elect to file joint even if your spouse was a nonresident alien and did not live in the US. If you file jointly, your spouse’s worldwide income will be included on the US tax return. If your spouse had little or no income, you may actually save money by electing to file together.
See Nonresident Alien Spouse.
