Betty's main project is the Betty Accorsi Quartet, formed with pianist Finn Carter and drummer Scott MacDonald, fellow students at Goldsmiths and popular musicians in the London jazz circles. In-demand bassist Andy Hamill (Van Morrison, Martin Taylor, Ibrahim Maalouf) joined shortly after. In December 2020 they released The Cutty Sark Suite, an album of original compositions that introduced the Quartet’s sound as jazz blending elegant and melodic soprano sax lines with an intensely dynamic rhythm section. The album was played in its entirety at a live-streamed concert for the 2021 Brighton Fringe Festival.

The second album Growing Roots was released on the 15th July 2022 featuring pianist Daniel Hewson (Groove Armada, Madonna, Incognito), alongside MacDonald and Hamill. Betty’s approach has evolved into a refined, evocative, lyrical jazz blending her many influences into a cinematic style reminiscent of Pat Metheny, John Surman, and Jan Garbarek.

The quartet have just released a new album, "Nature Prints".