More facts would be needed to understand the context of the Insurer's claim on behalf of the injured party, but a "subrogation" claim under Georgia law (and likely under the insurance law in the state where this occurred) can permit an insurer to "stand in the shoes" of its insured after paying a claim for the benefit of its insured. This means that the Insurer holds (and can exercise) the rights of the injured person or party to pursue a recovery that the injured party could have pursued in court.
The fact that the injured party has not made a demand for payment or initiated a civil court case should not make you feel safe, since the subrogation claim being asserted by the insurance company "IS" the Claim of the injured Party.
Second, it's always advisable to seek legal counsel when presented with a claim or legal exposure (including the possibility you may be forced through the civil court process, after due process, to pay a claim or suffer a judgment). The amount at stake can often suggest whether or not to retain counsel, but so can other factors like the availability of your own insurance coverage for costs of legal defense and payment of the claim.
Third, if this is a type of negligence liability case or claim (often referred to as a "tort"), you may have homeowner's insurance or other liability insurance coverage that may be beneficial. One of those benefits may include the right to legal counsel and payments of legal fees. So, a review of your insurance coverage and policies may be advisable.
Good luck with resolving this issue, and I hope this information will allow you to explore and understand your options better, and the need to seek skilled legal counsel.
State Required Legal Ethics Disclosure: This Answer and any information contained in this answer is not intended to be treated as legal advice; And, this posting does not create an attorney-client relationship or privilege of any kind. This attorney licensed only in Georgia.