Finch joined the Swans in July 2022 from Genero Adran Premier rivals Cardiff Met Women, having previously played for West Bromwich Albion Women.
The full-back made her debut for the Swans in a Champions League qualifier against AC PAOK, suffering a 2-0 defeat.
The 24-year-old helped Cardiff Met to a treble in the 2018-19 season and will be hoping to repeat this achievement with the Swans.