There isn't a case readily available to where she was hunting with the intent to kill anyone.
However; Actaeon, a young hunter who stumbled upon the goddess bathing and was turned into a stag, and killed by his own dogs comes to mind.
Artemis is sometimes to have been told to kill Callisto by Hera.
Adonis is said to be killed by either Artemis or Ares.
Yes, Artemis was a great huntress and could hunt and kill/catch anything
You can not kill Artemis, she is a ancient immortal Greek goddess.
she was kidnapped with Artemis by hunting monsters.
KIDS can kill monsters!
Yes, Artemis would kill animals because she is the goddess of the Hunt. It's what she does.
Apollo, in one account of the myth of Orion and Artemis, apparently used Artemis to kill Orion unknowing.
There is no known myth about Artemis killing a cyclops.
yes, however, Artemis was trying to kill them
Artemis aided Apollo in the slaying of Python.
I don't think she has, mainly because she wasn't in the Sea of Monsters book.
Both, Artemis could kill or heal (with her arrows) women, as Apollo could (with arrows) kill or heal men.
No, because Artemis was a goddess and that means she's immortal. Which means she can't die.