She was named the Icelandic Female Basketball Player of the Year in 2002 and 2004.

[2] Birna was the second player to break the 5000 points barrier in Úrvalsdeild kvenna and is its all-time leading scorer.

[3][4] In December 2014, she broke the Úrvalsdeild kvenna all-time record for games played[5] and held that record until March 2023, when it was broken by Sigrún Sjöfn Ámundadóttir.

[6] After difficult injuries during the later part of her career,[7] Birna retired following the 2014-2015 season.

[8][9] Between 1995 and 2009, Birna played 76 games for the Icelandic national basketball team.