Should not be a problem given the thinness and flexibility of the rod and the depth of the boat. There is adequate space on each side of the skeg box. I put tent poles and rods in my 17’ sea kayak no problem.
I agree with castoff. I often carry tent poles and also I have carried a take-down rifle with me that is NOT flexible, and it goes through my oval hatches just fine. The longest section of the rifle is 26" long.
No problem carrying it.