Snow is exiting the area. As the snow moves out wind will begin to pick-up this morning and will get even stronger through the day Wednesday.
Here is the view from the 0z NAM forecast model.
This is a slightly different look of the model data. This is showing wind speeds at different heights in the atmosphere. You can see the altitude by the white horizontal lines. They are measures of thousands of feet.
Generally the wind is always stronger the higher in the atmosphere you get. It is looking as though some of the stronger wind aloft will begin to make its way down towards the surface of the earth. That means it will be pretty windy, especially Wednesday.