Final answer:
Ephesus was the city in Asia Minor famous for hosting a prominent cult center dedicated to Artemis with the esteemed Temple of Artemis signifying the city's religious significance.
Step-by-step explanation:
The city in Asia Minor that was home to one of the most famous cult centers of Artemis was Ephesus. Ephesus, known for its magnificent temple - the Temple of Artemis - was a significant religious site in ancient times. It did not feature public Mysteries such as those found in Eleusis or Samothrace but was renowned for the worship of Artemis with numerous followers engaging in private mystery rituals in honor of the goddess.
The temple itself was one of the Seven Wonders of the Ancient World and served as a symbol of both the city's wealth and dedication to Artemis.