Old Greenpawn got an Award.

Ruby Stein?

Kat Alen

The Hippopotamus.

Zing!

The Orang Utan was inspired by/named for Susan the Orang Utan (at the New York zoo). Does this count?

I'd like to consider Susan the Orang Utan as a candidate
but Susan the Orang Utan was not a female chess player.

Disqualified I'm afraid.