What was the name of the main temple in Uruk?

The main temple in Uruk was Eanna, also called the Temple of Inanna.

Eanna means “House of Heaven” and refers to a monumental temple complex in the ancient Sumerian city of Uruk, at modern Warka in Iraq. The complex was chiefly associated with Inanna, the goddess later known in Akkadian tradition as Ishtar. In the Epic of Gilgamesh, Eanna is named among the city's most important sacred landmarks.

Eanna was more than a place of worship. From the Uruk period, roughly 4000–3100 BCE, it developed into a major institutional center managing offerings, agricultural estates, craft workers, priests, and scribes. Administrative records from the area are closely connected with the early development of writing and organized urban government.

The distractors belong to other Mesopotamian religious traditions or sites. Eridu was associated especially with Enki, Etemenanki was Babylon's great ziggurat, and Esagila was Babylon's temple of Marduk. Eanna therefore fits both the epic's setting and the historical religious geography of Uruk.