Finn was born in Dublin and grew up in Swords. She played soccer with Swords Manor from five years old until she had to leave at 13 due to rules against mixed-sex football.[7] She then moved to Shelbourne's girls' youth system.
In August 2021 Finn left Shelbourne to sign a one-year professional contract with English FA Women's Super League (WSL) club Birmingham City.[13] In July 2022 she agreed to extend her contract with relegated Birmingham for another year, with the option of a further year.[14]
Finn won a second cap in the final qualifier, a 3–1 defeat by Germany at Tallaght Stadium on 1 December 2020.[23] On 8 April 2021 she was drafted in as a late replacement for Ruesha Littlejohn, who was injured in training, ahead of Ireland's friendly with Denmark. She was named Player of the Match as a defensive midfielder in Ireland's 1–0 defeat.[24] On the 22nd February 2024, Finn tore her anterior cruciate ligament (ACL) during training camp in Italy.[25]