Krystina Timanovskaya, 24, left Tokyo earlier on Wednesday.
The row started after she criticised coaches after being entered into a race at short notice after some teammates were found to be ineligible to compete.
She told the BBC her actions were not a political protest. "I love my country and I didn't betray my country."
"This is about the mistakes that have been made by our officials at the Olympics," the sprinter told the BBC's Newshour.
