The quiver() function is what you want to use. It's desiged exactly for this purpose.
Since your vectors are in degrees and the quiver function requires the x,y component vectors, use pol2cart() to convert your polar vectors to cartesian vectors. You'll also need to convert deg-->rad for the pol2cart inputs.
[xWind, yWind] = pol2cart((pi/180).*WindDirection), WindSpeed);
quiver(x, y, xWind, yWind)