Eilonwy demands respect from Taran after they escape and he comments that girls wouldn't know anything about swords. Upset, she runs off and cries while leaning against a tree. When he goes to apologize to her, she forgives him, and treats him with respect in return.
As Taran says that without his sword he's nothing, Eilonwy takes him aside and says this.
Eilonwy: Look, you are somebody. You must believe in yourself. ...I believe in you.
Gurgi jumping into the Cauldron because he doesn't want Taran to die.
Gurgi: Taran has many friends... Gurgi has no friends.