[GA] Will a minor speeding ticket (< 15 over) affect insurance if I pay it?

I got pulled over last night doing 60 something in a 45 in North Georgia. I had weed in the car which the cop smelled and the cop had me do a sobriety test which I guess I did well enough on for him to have us destroy the weed on the road and forget about that whole issue, and he said he will lower my speed as well.

I got issued a ticket for 59 in the 45 zone, no mention of anything else. I understand that this would mean there's no points to my license because of this. My question is if I pay the fine, will this affect my insurance significantly (20m, under my dad's still)? I've never gotten a ticket though I have gotten in a minor accident 2 years ago (no ticket/no harm but we had to switch insurance after that).

I'd rather not deal with this in court due to all the other details that may come up if I argue it. My parents are out of town so ideally I can pay the fine and move on without them ever knowing. I have Farmers Insurance.