she.let denotes exercising rule or power, and in one construction making someone a ruler.

The attested use chiefly concerns exercising rule, whether over the earth, as third in a kingdom, or as power that the fire does not have over bodies. In the Hiphil forms, the term occurs where a person is made ruler over people or a province.

1. Exercise rule or power · dominant

   The Qal forms occur in rulership contexts: in Daniel 2:39 the APB renders the bronze kingdom as one that “will rule over all the earth,” and in Daniel 5:7 and Daniel 5:16 the promised recipient is to “rule as third in the kingdom.” In Daniel 3:27 the Qal perfect stands in the clause that the fire “had no power over their bodies,” extending the observed use to power exercised over persons.

   Daniel 2:39Daniel 3:27Daniel 5:7Daniel 5:16Daniel 6:25
2. Make someone ruler · common

   In Daniel 2:38, the Hiphil perfect occurs as the speaker says that the addressee has been made “ruler over them all,” after describing animals and birds given into his hand. In Daniel 2:48 the same stem occurs when the king makes Daniel ruler over the province of Babylon and chief prefect over its wise men.

   Daniel 2:38Daniel 2:48

In the Anselm Project Bible: The APB presents the Qal occurrences with “rule” or “power” in Daniel 2:39, Daniel 3:27, Daniel 5:7, and Daniel 5:16, and presents the Hiphil contexts as making someone a “ruler.” Its text for Daniel 6:25 does not make the term's specific contribution clear.