In cases not subject to the centralized collection and disbursement unit pursuant to §36-5-116, when the clerk of the court of the registering county collects the support that has been enforced by the court of the registering county pursuant to this part, the clerk shall send the support amount, less the statutory fee of the clerk, directly to the obligee, but the clerk shall not send the support amount to the issuing court from which the original order was issued and that was registered for enforcement pursuant to this part.