Just my 2 cents worth…
You can try to pull the old damaged threads out of the epoxied carbon fiber. That may be quite a challenge. I have done it before, and it is a tough process. Once the old threads (usually an insert) is out, you have a few options. Best option I suggest is to epoxy in a new thread insert. Still, it will not be as secure as the original insert epoxied at the time of carbon lay-up, but it may suffice. Otherwise, use a Heli-Coil on the damaged insert. I have used a Heli-Coil before, and been surprised as to its strength.
Where is/what is the damaged thread? How much torque does it see?