The Mother of Dragons could’ve been channeling her Inner Goddess all this time. In the latest issue of the The Hollywood Reporter , Game of Thrones ‘ Emilia Clarke , who plays Daenerys Targaryen on the HBO hit show, reveals she was actually offered the lead part in Fifty Shades of Grey but turned it down. The role of Anastasia Steele eventually went to Dakota Johnson . So, why did Clarke refuse the part? She says of the decision.