The Briton led with eight seconds left on the clock but teenager Rashitov pulled off a dramatic head kick.
German equestrian dressage rider Dorothee Schneider came out on top of her Olympic qualifying group on Sunday just weeks after a traumatic accident in which the horse she was riding died and she broke a collar bone. Schneider is part of a powerhouse Germany team including Isabell Werth, the most decorated equestrian Olympian, and Jessica von Bredow-Werndl, the top scorer in Saturday's qualifiers. Germany are among the favourites for team and individual gold on Tuesday and Wednesday.
Jade Jones suffered a shock first-round defeat in taekwondo, while Sir Andy Murray announced his withdrawal from the men’s singles tennis.
Coco Gauff and Johanna Konta were among the tennis stars forced to withdraw.