In the modern Olympics, that was 1896.
At the first Olympic games.
Nadia Comaneci, in 1976.
The first Olympic games began in 776BC.
A perfect 10.0 points. It is By Nadia Elena Comăneci, the winner of three Olympic gold medals at the 1976 Summer Olympics. and the first gymnast to be awarded a perfect score of 10 in an Olympic gymnastic event. She is also the winner of two gold medals at the 1980 Summer Olympics.
The trampoline became an Olympic event in 2000. There is no first women in the trampoline event. The link below has who what won medals in what year.
swiiming became an olympic sport in 1896
Croquet
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tree chopping
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since the first international Olympic games in 1896 :)