O.C.G.A. § 9-9-34 (2019)

(a) The parties shall be free to agree on a procedure for challenging an arbitrator, subject to the provisions of subsection (c) of this Code section. (b) If the parties fail to agree on a procedure for challenging an arbitrator, a party who intends to challenge an arbitrator shall, within 15 days after becoming aware of the constitution of the arbitration tribunal or after becoming aware of any circumstance referred to in subsection (b) of Code Section 9-9-33, send a written statement of the reasons for the challenge to the arbitration tribunal. Unless the challenged arbitrator withdraws from office or the other party agrees to the challenge, the arbitration tribunal shall decide on the challenge. (c) If a challenge under the procedure set forth in subsection (b) of this Code section is not successful, within 30 days after having received notice of the decision rejecting the challenge, the challenging party may request that the court specified in Code Section 9-9-27 decide on the challenge, which decision shall not be subject to appeal; while such a request is pending, the arbitration tribunal, including the challenged arbitrator, may continue the arbitral proceedings and make an arbitration award.