Theophylact of Ohrid

But after having forgiven her sins, He stops not at the forgiveness of sins, but adds good works, as it follows, Go in peace, i. e. in righteousness, for righteousness is the reconciliation of man to God, as sin is the enmity between God and man; as if He said, Do all things which lead you to the peace of God.

Catena Aurea by Aquinas ↗

Gregory the Dialogist

And he confirms her whom he had healed by the sentence of his mercy, saying: "Your faith has saved you, go in peace." For faith indeed saved her, because she did not doubt that she could receive what she sought. But she had already received that very certainty of hope from him from whom she also sought salvation through hope. And she is commanded to go in peace, so that she may no longer be turned aside from the way of truth into the path of scandal. …

Forty Gospel Homilies, Homily 33 ↗

Bede

Your faith has saved you; go in peace. Indeed, faith has saved, because she did not doubt she could receive what she asked for, but had already received the certainty of hope from him from whom she sought salvation through hope. She is commanded to go in peace so that she might not be diverted from the path of truth to the way of scandal. These words may be understood historically, but let us now examine the mystical secrets. Whom does the Pharisee, presuming on false righteousness, represent if not the Jewish people? …

On the Gospel of Luke ↗

Bonaventure

Third, as regards the perfect merit of devout faith, there is added: But he said to the woman: Your faith has saved you, namely from sins: faith, I say, in Christ, of which Matthew one says: "He shall save his people from their sins"; and this through faith: Romans three: "God justifies the one who has faith in Jesus Christ." And because justice makes peace with God and with conscience, therefore he adds: Go in peace: Romans five: "Being justified therefore by faith, let us have peace with God"; and Isaiah fifty-seven: "Let peace …

Commentary on Luke, Chapter 7 ↗