The pilot said that he was back taxiing on runway 16 to position himself for takeoff on runway 34. While taxiing, the pilot noticed a deer on the east side of the runway. The pilot taxied along the west side of the runway, just outside of the runway lights. The pilot looked back over his shoulder to look for the deer. When he turned around, the pilot said he noticed that the airplane was too close to the runway lights. The pilot swerved the airplane to the right, where it subsequently struck the runway marker. Examination of the airplane revealed no anomalies.