It depends on how much the damage was and why the accident occured and the insurance company will then calculate the future risk of such things happening and increase the premium accordingly.
I was involved in an accident once at a right turn junction. I thought I saw a green arrow coz the cars in front were turning. But the other car said he didn't see a red light. So that's word against word. The damage on our car came up to more than $10k but our premium didn't increase in the next few yrs.