Your wife does not need to file. You can file married filing separately in TurboTax.
Even though you are filing MFS, you will still be asked your wife's SSN. When you are asked to enter the spouse's Social Security number, enter 999-88-9999. You can only print and mail your tax return, it cannot be e-filed. When you print the tax return "white-out" the incorrect Social Security number for your spouse and manually enter NRA for non-resident alien in the area where her SSN would be placed.
See this TurboTax support FAQ for the procedure to print and mail a tax return using the online editions - https://ttlc.intuit.com/questions/1944348-how-do-i-print-and-mail-my-return-in-turbotax-online
