You can even choose from one of three hairstyles, depending on which season of the show you want to capture. The ' Daenerys as a RaceMenu Preset' mod does exactly what it says, making Khaleesi an easily-selected preset for all four human races without the need to fiddle around with each aspect of face customization.
Let me preempt any pedants out there: this mod by Shiva182 is by no means new, but people are always ready for more ways to enjoy Game of Thrones and/or Skyrim, and this is the quickest way you can make your protagonist look exactly like Emilia Clarke.