Agla María came up through the junior ranks of Breiðablik and was first called up to the senior team in 2014 when she was an unused sub in a Úrvalsdeild kvenna game against Selfoss.[1] On 30 June 2015 Agla María moved to Valur where she made her professional debut on 17 July 2015, when she replaced Hildur Antonsdóttir in the 46th minute of a defeated against Þór/KA.[2] On 14 January 2016 she signed with Stjarnan. She won the Icelandic championship with the club in September that year.[3]
In January 2018, Agla María signed back with Breiðablik.[4] In August 2018, she assisted in both goals in Breiðablik's 2–1 victory against Stjarnan in the Icelandic Cup Finals.[5][6] On 17 September, she helped Breiðablik win the national championship after it defeated Selfoss in the Úrvalsdeild kvenna.[7] In March 2019, she signed a new 3-year contract with Breiðablik.[8][9]