"Rigid" means NO suspension. "Suspension" means something flexible and shock absorbing.
Why would you want to avoid suspension forks in the first place? They may not be really needed in the type of riding you nearly always do, but can be very nice to have on the occasional rougher surfaces. You pay a penalty in weight and cost, but I think it's worth it. The park where I usually ride has a couple of paths: One completely paved, and one mostly dirt and gravel. The dirt and gravel path is very unpleasant for me to ride on a bike without a suspension fork, to the point where I avoid it.