7 Now then seeing I have resolved this profound difficulty, as best I could in so short a space of time (or if I have not resolved it yet, let me be held, as I have already said, a debtor for the rest); let us now rather consider briefly that question of the remission of sins. Christ was supposed to be but a man both by him who invited Him, and by them who sat as guests at the table with Him. But that woman who was a sinner had seen something more than this in the Lord.
For why did she all those things, but that her sins might be forgiven her? She knew then that He was able to forgive sins; and they knew that no man was able to forgive them. And we must believe that they all, they who were at the table, that is, and that woman who approached to the Feet of the Lord, all knew that no man could forgive sins. Forasmuch then as they all knew this; she who believed that He could forgive sins, understood Him to be more than man. So when He had said to the woman, “Your sins are forgiven you;” they immediately said, “Who is this that forgives sins also?”
Who is this, whom the woman who was a sinner already knew? Thou who sittest at the table as if in sound health, know not your Physician; because it may be through a stronger fever you have even lost your reason. For thus the frantic patient as he laughs is bewailed by those who are in health. Nevertheless, you do well to know, and hold fast that truth; yea, hold it fast, that no man is able to forgive sins. This woman who believed that she could be forgiven by Christ, believed Christ not to be man only, but God also.
“Who,” say they, “is this that forgives sins also?” And the Lord did not tell them as they said, “Who is this?” “It is the Son of God, the Word of God;” He did not tell them this, but suffering them to abide for a while still in their former opinion, He really solved the question which had excited them. For He who saw them at the table, heard their thoughts, and turning to the woman, He said, “Your faith has made you whole.” Let these who say, “Who is this that forgives sins also?” who think me to be but a man, think me but a man. For you “your faith has made you whole.”
Source: Sermons on Selected Lessons of the New Testament (New Advent)