I got a little overly enthusiastic and booked AtlasGlobal (partially operated by AtlasJet) multicity itinerary (OZH-IST-AYT-IST-OZH) on Expedia, before my traveling partner received her passport.

Lo and behold, the name in the passport is transliterated in a different way than what we expected. The first letter of the last name is “H” instead of “G”. There is no time to fix the passport now.

I contacted the marketing airline, and here is the response I got:
First of all we'd like to thank you for choosing Atlaglobal Airlines.
As indicated in the general rules, name change is not allowed. Ticket is non transferable. Names on ticket and passport must match each other.
You need to contact your travel agency, where you have purchased your tickets.

I called Expedia, and they are going to call me back after investigation. But these are non-refundable tickets and it has been over 24 hours since booking, so I do not think they can do anything, really.

What do you think I should do?

a) Just go to the airport, and hope we both are allowed to fly.

b) Buy a separate new ticket for the partner. Would the no-show in this case affect my ticket in any way?

c) Buy whole new tickets for both of us.