 Ragnheiður akaita mutambo wake wekutanga weOlympic, semumhanyi mudiki weIceland ane makore gumi nemapfumbamwe, kumaOlympics ezhizha ra2004 muAthens. Akakwanisa kupinda mumakwikwi maviri ekushambira nekuwana B-standard yekupinda nguva ye26.34 50 m freestyle uye 56.74 100 m freestyle. Mumakwikwi emamita zana akasununguka, Ragnheiður akapedza ari wekupedzisira mumakwikwi matatu uye wechina pakupedzisira aine nguva yemasekondi 58.47. Mumakwikwi emamita 50 akasununguka, Ragnheiður akapotsa akabata kukunda mumakwikwi mashanu nehafu yechipiri 0.01 kumashure kweLara Heinz weLuxembourg, achipedza wechipiri uye makumi matatu nemasere mumasekondi 26.36. 