How do the actions of Ariadne help further the plot?

he line from “Cruel Tribute” that best supports the idea that Ariadne's actions help advance the plot is 'Then she gave him a sharp sword, and hid it underneath his cloak, telling him that with it alone could he hope to slay the Minotaur

Without the string from Ariadne, it would have been very hard for Theseus to escape the maze. "Theseus, take this, she whispered. Even if you kill the Minotaur, you will never find your way out again" (E2BN.org, Commonlit). She requests Theseus to take her with him and she also thinks he will marry her.  He doesn't find her attractive and therefore leaves her stranded on an island.  "In his haste to get away, Theseus forgot to change his sails to white. King Aegeus, waiting on the headland, saw the ship approaching with its black sails flying in the wind"(E2BN.org, Commonlit).

i am confused, i do not see a speech unless you mean the

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