Kammala jumla mai zuwa: A Wasannin Olympics na bazara na 2008 a Beijing, Ragnheiður ya cancanci a karo na biyu a cikin shirin yin iyo iri ɗaya kamar Wasannin da suka gabata. Ta share FINA B-cuts na 25.95 (50 m freestyle) daga Dutch Open Swim Cup a Eindhoven da 56.06 (100 m freestyle) daga Gasar Cin Kofin Duniya ta FINA a Melbourne. A cikin tseren mita 100, an sake sanya ta a cikin zafin jiki na uku a kan wasu masu iyo bakwai, gami da Hannah Wilson na Hong Kong da Arianna Vanderpool-Wallace na Bahamas. Ta taba Cypriot Anna Stylianou don ɗaukar matsayi na biyar da na talatin da biyar gaba ɗaya ta kashi uku cikin ɗari na biyu (0.03), a cikin lokaci na 56.35 seconds. A cikin
50 m freestyle, Ragnheiður ya gama na huɗu a zagaye na takwas ta 0.13 na biyu a bayan Natasha Moodie na Jamaica, yana da sa'a a 25.82. Ragnheiður ta kasa ci gaba zuwa wasan kusa da na karshe, yayin da ta sanya na talatin da shida daga cikin 'yan wasa 92 a cikin wasannin farko na maraice.