I see no problem. A bit of snow on top of fertilizer granules should cause no problems. Naturally, some states prohibit fertilizer on frozen ground, due to the potential for granules runoff and water contamination, if heavy rain happens. Thick turf should prevent any movement of the granules--rain or not. Snow should melt gradually in a few days--maybe quicker than that. It did not cause problems in my experience, as it happened on my treatments from time to time in the past.
One April years ago, when I worked for turgreen, it snowed 4 inches after we had applied about 1000 lawn treatments. No unusual problems resulted.
You ARE using spreader covers, right? You don't want snow in your spreader. I suspect you will all be a Waffle House drinking coffee, anyhow, right?