Such a fine pedigree ensured she was a hugely popular choice to represent Iceland for a second time in the Eurovision Song Contest 2005 , to be held in Kiev . However , despite its being one of the favourites to go on to win the contest , her song '' If I Had Your Love '' did not make it to the final . Iceland 's early exit at the semi-final stage was one of the biggest upsets of the 2005 contest . This was Iceland 's worst result in the contest
Eurovision Song Contest 2005
Eurovision Song Contest 2005
Selma Björnsdóttir