2004 Summer Olympics
Esebua represented Georgia at the 2004 Summer Olympics. She placed 22nd in the women's individual ranking round with a 72-arrow score of 636. In the first round of elimination, she faced 43rd-ranked Reena Kumari of India. Esebua lost 153–149 in the 18-arrow match, falling to 40th overall in women's individual archery.
2008 Summer Olympics
At the 2008 Summer Olympics in Beijing Esebua finished her ranking round with a total of 643 points. This gave her the 17th seed for the final competition bracket in which she faced Yuki Hayashi in the first round. Both archers scored 102 points in the regular match and a decisive extra round had to make the difference. In this extra round Esebua scored nine points and Hayashi eight, giving Esebua the ticket to the second round. There she hit another 102 points, but her opponent Elpida Romantzi did the same and yet again the match had to be decided with an extra round. This time it was Romantzi who advanced to the next round as she hit ten points against nine of Esebua who was eliminated.
2012 Summer Olympics
2016 Summer Olympics
- Evans, Hilary; Gjerde, Arild; Heijmans, Jeroen; Mallon, Bill; et al. "Kristine Esebua". Olympics at Sports-Reference.com. Sports Reference LLC. Archived from the original on 2020-04-18.