Anjani was born and raised in South Australia before moving to Queensland for medical school. After graduating, she returned to Adelaide and worked across various general rotations at Lyell McEwin and Flinders Hospitals, followed by a year specialising in obstetrics and paediatrics at the Women's and Children's Hospital. Anjani is an obstetric shared care provider with a special interest in all areas of women's health, particularly family planning and antenatal care.