Daenerys Targaryen is a major character in the first, second and thirf seasons. Her role is played by Emilia Clarke.
So here's how we draw her: Step1: Draw an outline of the figure with a thick pencil till the shoulders. Step2. Once the figure is done with, draw facial objects like eyes, nose ,ears etc with a thin pencil. Also the hair with a few lines in between to make them look real. Step3. Now trace the final basic structure with a thin pencil. Step4. Time for colouring. Did a brown background. A normal skin tone, white hair as of her character, blue eyes. A combination of Dark and light shades for the face and the eyes to give authenticity and an "effect" to the drawing. And you're done! :D