Roads become impassable, meaning rural areas can become completely isolated, and travelers may become stranded. Buildings and power lines can collapse under the weight of the snow. Unprotected livestock may be lost. High winds frequently accompany snow, and can cause quite a bit of trouble even when it's not snowing. If there's already snow on the ground, the winds can drop visibilities to near zero in blowing snow.
Wind can cause damage to buildings and bring down power lines.
Even if it's not extremely cold outside, the wind can make it feel much much colder. As the wind increases, heat is carried away from the body at an accelerated rate, driving down body temperature. Animals are also affected by wind chill. Exposed skin freezes quickly - resulting in frostbite. Frostbite is damage to body tissue caused by the tissue being frozen.