Her top finishes include third place at the Nations Cup in Igls, Austria in January 2004, and third place at the Nations Cup in Königssee, Germany, February 2004. She finished in the top 10 in seven of the eight events in the 2004-2005 Nations Cup series. Abernathy finished 25th in the 37th World Championships in 2004 in Nagano, Japan, but did not compete in the 2005 championships in Park City, Utah due to injuries suffered during homologation at the Cesana Pariol track in Cesana, Italy three weeks earlier.