Asenjo was raised in Malverne, New York.[5] Her father, Erick Asenjo, is Dominican and her mother, Kimberly 'Kim' Grant (née Mahabirsingh,[6] formerly Asenjo), is American.[7] Her parents are divorced.[8]
In 2022, after recovering from knee injuries, Asenjo played in the USL W League for Queensboro FC, where she was the team's leading scorer during the 2022 season with 11 goals in 12 matches,[9] and was also nominated for USL W League player of the year[11] and named to the league's team of the year.[9]