I recently purchased a 2013 Audi S5 and live on a dirt road. Aside from normal wear & tear do I have to be EXTRA careful on a dirt road in a car with a Supercharger?

Nice car, but I'm curious about your question. Are you worried about the large amount of power of your supercharged car making it difficult to drive on a dirt road? If that's the case, there is really nothing to worry about as long as you are not trying to imitate a rally driver while on the dirt road. Or are you asking about dirt and dust from the road affecting the supercharger somehow?

Make sure you use a good air filter. The factory air will work great but you might have to change it more frequently.