"This moment meant more to me than anyone could imagine. A week into creating this show I was in a terrible car accident," she wrote.
"I went straight back into rehearsal the next day even though I could barely move. Whilst trying to dance and create I was in excruciating pain, holding back tears as I moved, but nothing was going to stop me from finishing the show. Not only did I finish the @savagexfenty show, but last night I won an Emmy for it."
Goebel recalled "bursting into tears" as she left the stage and thanked Rihanna and her dancers for helping bring her choreography to life.
Goebel went up against the likes of other TV shows for the award, including Dancing with the Stars, Annie Live! and the Oscars.
Fellow Kiwi Sir Peter Jackson also scooped several awards, representing New Zealand in the Emmys' documentary category.
His documentary The Beatles: Get Back won all five of the awards it was nominated for, including Outstanding Directing For A Documentary/Notification Program.