Adi Kuini was married three times, first to Military officer Savenaca Draunidalo (a Minister from 2001 to 2006), subsequently to Bavadra and finally to Clive Speed, a former Director of the Business Council of Australia. She had four children (including the well-known lawyer Tupou Draunidalo, who became President of the National Federation Party in 2014 and was subsequently elected to Parliament that year) and eleven stepchildren. By the end of 2004, when she lost a long battle with cancer, she was the grandmother of three. She is buried in Korolevu, a two-hour drive from Sigatoka.