Originally planned to be the follow-up single to "Better the Devil You Know", a remix of "What Do I Have to Do" was released on 21 January 1991 as the third single from "Rhythm of Love". An accompanying music video that is set mostly in black-and-white was directed by Dave Hogan in London during December 1990. In the video, Minogue appears in a variety of film star looks, irons clothes while wearing a French maid costume, and shows a tattoo of a black panther on her back. Kylie's sister Dannii Minogue appears in the video as a cameo to silence tabloid rumors about a feud between the two of them. Model Zane O'Connell, who later became Kylie's boyfriend, also had a cameo role in the music video. The video's sexual undertones were too much for Saturday morning television shows in the UK, with the programmes airing a censored version of it. The single was Minogue's first to miss the top 10 in Australia, where it peaked at number 11; the song also broke her run of top-five singles in the UK, where it peaked at number six. The song also peaked at number six in Ireland, becoming Minogue's third top 10 single from "Rhythm of Love" in the region.