The song was premiered on Annie Mac's BBC Radio 1 show, where Annie named it her "Hottest Record in the World" for 9 March 2016. On the subject of the song's meaning, Anohni said:
It’s a love song from the perspective of a girl in Afghanistan, say a 9-year-old girl whose family’s been killed by a drone bomb. She is kind of looking up at the sky and she’s gotten herself to a place where she just wants to be killed by a drone bomb too.
The music video for "Drone Bomb Me" was released on 9 March 2016 and features English model Naomi Campbell. The video was directed by Nabil Elderkin and art-directed by Givenchy's Riccardo Tisci. Writing for Rolling Stone, Brittany Spanos described video, "The clip stars supermodel Naomi Campbell, who spends most of the video sitting in a chair lip-synching to the electronic track. Her face is covered in tears as she delivers the song, and interspersed between those moments, male dancers are menacingly contorting their bodies and an upright Campbell is posing seductively."