Claim #1 - Artemis Is Against Hunting
The argument that Artemis is against hunting or meat eating should, in and of itself, be an obvious inaccuracy. She's the Goddess of the Hunt. The first sentence of the Homeric Hymn to Artemis calls Her the "slayer of stags," and talks about her chasing and striking down the wild beasts. To say that Artemis rebukes hunting or opposes the consumption of game that was killed in ancient times specifically for eating, is not historical.
Claim #2 - Artemis Supports Abortion
Whatever your views on abortion are, that's not the concern here. Not everyone has the same beliefs on the issue. Some are pro-life, some are pro-choice, and some are moderate; I understand that. But to say that Artemis revels in abortion, is simply not supported by anything other than someone's own personal theory. Artemis is the Goddess of childbirth and the protector of infants and children. She carries no historical epithet that refers to Her as an abortive Goddess whatsoever. She fiercely protected the weak and vulnerable. When Atalanta's father threw Her away at birth, it was Artemis who came and saved Her life. Another manifestation of Artemis is the legendary Artemis of Ephesus, which is a multi-breasted form to symbolize Her as "the Great Mother." The ancient Greek religion, in many cases, took a stance against abortion itself in some of its main cultural declarations. For example, the famous physician's Hippocratic Oath, which swears before "all the Gods and Goddesses" to not give an abortion. People in ancient Greek myth who harmed children were also dealt with very severely by the Gods. A good example would be Lycaon, who dismembered a young boy and tried to offer the remains to Zeus, who was so repulsed and offended that He wiped out the entire Bronze Age of Greece.
Claim #3 - Artemis Is A Matriarch Who Hates Men
This idea mainly comes from a misunderstanding about Her refusal to take a husband and the death of Actaeon. While She did not marry, She always remained in recognition of the Supremacy of Zeus, the King of all the Gods. In fact, She sought His permission to remain chaste. She did not take it upon Herself to make the decision without Him. She also never decided that She was going to run everything. Zeus was always Her dear Father and the Ultimate Authority. All of the Gods, male and female, called Zeus the King. It wasn't as if the male Gods weren't expected to revere Zeus. The King was the King because He was King. It's that simple. While women worshipers today can find a great deal of independence in Her Divinity, She does not think of Herself as the ultimate ruler, or that She has a natural right to be at the top of the rule because of her gender. One does not have to be a gender-supremacist in order to be free, strong and independent. One can be those things without crushing the opposite sex. Artemis is strong, powerful, wise, free and independent, but She doesn't try to usurp Zeus, nor does She feel that He is a threat to Her own greatness or Her own rule over Her domains.
As far as the man-hating theory, this comes from the myth that the hunter Actaeon secretly spied on Artemis naked in the forest, and after She spotted him, turned the hunter into a stag and his hounds attacked and killed him. This probably had a far broader ancient meaning. Artemis didn't like sex, and therefore, did not want to be sexualized, and sexualization in those days was largely portrayed between male and female. But Artemis had and still has many male worshipers who show Her proper respects and don't end up on Her bad side. In fact, I built a sanctuary to Her in my yard and She was one of the main Gods I prayed to for help in saving my son's life when he was born prematurely. I am doing fine and so is my boy. I don't think we need to get so caught up in gender that we make everything about gender or sexism. Why can't we be great together?
Conclusion
There's nothing wrong with having UPG in your own private religious life, but to make it a universal declaration of the religion or the Deity, is quite another matter.
In the Goodness of the Gods,
Chris.