Kemp signed to Giant Records in 1990, a new sublabel of the Warner Brothers music label. In January 1991, her self-titled album and debut single "Hold You Tight" were released. "Hold You Tight" became a hit, peaking at number three on the Billboard Hot 100chart; the song was certified gold by the RIAA and ranked as the twenty-fifth best-selling single of 1991. The song also peaked at No. 69 in the UK Singles Chart.[3] In May, Kemp released her second single "Piece of My Heart", which reached number seven on the Hot 100 in July and was the eighty-fourth best-selling single of the year. A third single "Too Much" was released, but stalled at number 95.[4]
Following the release of her debut album, Giant began to interfere with Kemp's recording of her sophomore album. Wanting to sign to Atlantic Records – where most of the people who had signed her to Giant had moved to – Kemp asked to be released from her contract.[5] However, Atlantic did not sign her. Kemp released two more songs: in 1993, "Action Speaks Louder Than Words" was featured on the soundtrack for the Fox television series, Beverly Hills, 90210;[6] and "Come Correct", which was released independently in 1994. Owing to issues in her personal life, she left the music industry soon after.[5]
In 2013, Kemp launched a Facebook page and YouTube channel containing new photography, uploads of vintage material, and teasers to a new track called "Water." In 2014 and 2015, Kemp revealed in interviews that she was working on new material.[7][8] In April 2016, Kemp released "Paris in Spring" (featuring D'wayne Wiggins), her first single in 22 years, as a charity single to benefit victims of the November 2015 Paris attacks.[9]
In January 2021, Kemp revealed plans to independently release her shelved sophomore album and remastered versions of her 1991 singles.[10][5] She is working with New York City-based Shakir Entertainment Management.