I live in Chicago. Home of cold, wind, snow. <I was bored so I wrote a small novel>
To answer your question. Depends. I had a 79 Mustang as my first car and I drove it for 3 years in some of the worst snow. <Talk about an education for first time driver, I was 17 at the time. Remember the Blizzard of '79?> It did ok as long as I had about 100 lbs of weight in the rear. It was a blast to able to drive sideways all the way down the block but in a straight line. Scared my passengers to death.
That mustang faired better in the snow because of its small tires and narrow rims.
When I had my 96 GT Auto, I drove it 3 years through the winters. It had 17 inch rims and my top speed with snow on the ground was a whopping 20 MPH if I was lucky. Turning a simple corner was a adventure in itself. Turn the wheel to much and your going straight if you want to or not. I avoided the highways like the plague when the snow was sticking to the ground.
Now that I have my 99 GT also a Auto with traction control, 17" rims. I drove through one winter with it. After that winter in '99 I said never again in the snow. 15 MPH on side streets trying to make it home in a snow storm was final draw. I almost wrecked the car in the morning turning into the parking lot at work. Wheel turned, car went straight towards a Steel pole that seperated the driveways.
Luckly the car bounced gently off the curb enough to turn me out of the way in time. Now that the car is modified I don't even dare drive it if theres even threat of rain. To much horsepower and no traction in bad conditions.
I solved the snow/rain problem with a 97 Jeep Wrangler Sahara. I bought it used, but in great condition. I actually enjoy the snowy days now. Just pull up on the handle and 4 wheel drive engages.
If your have to brave the snow. I recomend the following.
Narrow tires, 16 inch rim. Don't drive a wide tire in the snow your asking for very little traction. Slap some snow tires on those rims and you can swap out to your nice rims come spring.
Weight is your friend. Full tank of Gas and about 100lbs or more in trunk. Couple bags of rock salt work great and can get you out if you get stuck.
Drive slow, very slow, but go fast enough that you don't get stuck in the ruts in the intersection or in the deep stuff. A normal drive time of 30 minutes turned into a good 1 to 1 1/2 to get home when the snow was flying. Plan on allowing your car a couple years to stop. 17" rims make for great skis! Plan your turns carefully. To much gas and your going to be facing the direction you just came from. Turn to sharp and suddenly, your going to go straight if you want to or not.
Keep a cell Phone with you that is charged. Its great for when you need that friend, or tow truck to get you out of the ditch that you just slid into.