Odnoga developed in the minor ice hockey department of Győri ETO HC in her home city of Győr in northwestern Hungary.

[1] At Vermont Academy, she was a three-sport athlete, participating in association football, ice hockey, and tennis, and a ten-time letter winner.

[3][4] As high school graduation approached, Odnoga received scholarship offers to play NCAA Division I ice hockey at a number of schools, including Rensselaer Polytechnic Institute (RPI), the University of Vermont, and Boston University, among others,[5] but ultimately committed to Dartmouth College due to its small size, Ivy League reputation, and her familiarity with and affinity for the area – Dartmouth campus is less than 50 miles (80 km) from Vermont Academy.

[9] She studied at Révai Miklós Gimnázium in Győr before moving to the United States to complete her secondary education and credits the school with providing a solid foundation in the English language.

[1] As a child, Odnoga competed in equestrian sports at the national and regional levels, participating primarily in dressage and show jumping events.