While it's true that Artemis was very close to Orion, and even considered him a companion and hunting partner, there's no evidence in Greek mythology that she was romantically involved with him. Therefore, she wouldn't have been jealous of Eos.
It's Eos who is known to have pursued Orion, and ultimately she bore his children, even though Orion was already involved with Artemis.
It's important to note that Greek mythology is full of various interpretations and versions of stories. However, the most common and accepted version does not mention any conflict between Artemis and Eos regarding Orion.
