“Then, when the copy of King Artaxerxes’ letter was read before Rehum and the scribe Shimshai and their associates, they hurried to the Jews at Jerusalem. By force and power they made them cease building the wall.”
In all this exchange there was never a mention of the temple. It was all about the fortifications of the city of Jerusalem, the wall. Once the people at Samaria found out what the king said, they went to Jerusalem and told them to stop building the wall.