A dusting is probably fine and a good way to get used to it, and fresh powdery snow is amazing to run in, but snow can be a little tricky once it’s a day or two on the ground as it gets packed down, thawed and refrozen, etc.

I would take it easy, keep your feet under you, no speed work while you figure it out. If you feel like you need traction, you can get little cleats for your shoes. When I lived more rural, it was actually fine because I’d run in the road and they were usually plowed. Now I live in a city and nobody shovels their dang sidewalks so it’s really hit or miss whether I get out on the snow much.