The actress recalled that she had suffered a haemorrhage while on stage at Chichester Festival Theatre, something she described as “shocking”.
She appeared in The Other Boleyn Girl at the West Sussex theatre in April and May 2024.
After seeking medical attention following the show’s run, Kingston was told the cancer was in her fallopian tubes but had not spread to the ovaries.
“The minute I had the operation, I suddenly felt like myself again,” Kingston said.
The actress urged other women not to ignore any signs of ill health, and to have check-ups if they feel anything is wrong.
Kingston played River Song in BBC One sci-fi series Doctor Who from 2008 to 2015, and starred in US medical drama ER for more than a decade as Dr Elizabeth Corday.
She is currently taking part in Strictly with professional dance partner Johannes Radebe, and the pair topped the leaderboard last week with their samba.
The actress said it was her experience last year that inspired her to say yes to the dancing show, because “life is too short” not to take opportunities you want.