[1] She represented Germany at the European Young Rider competition in 1995 and 1997, where she claimed the title.

[1] At the 2012 Compiegne Equestre, Dressage International, France, she finished first in the freestyle event.

[4] Oatley was selected to represent Australia at the 2012 Summer Olympics in equestrian dressage.

[4] Her 2012 selection was subject to scrutiny following allegations by Hayley Beresford, Australia's top ranked female dressage competitor, that there was bias by Equestrian Australia in the team selection process which Beresford charactertised as "blatant bias and double standards.

"[2][3] Oatley was not a member of Australia's Shadow Olympic Squad until April 2012, after the initial team was named.

In 2014, Kristy was selected to be a part of Australian team for the 2014 World Equestrian Games.

She qualified to compete at the event through the Western European League, marking her first World Cup Finals qualification since 2004.