Matt. VIII. 5.
“And when He was entered into Capernaum, there came unto Him a centurion, beseeching Him, and saying, Lord, my servant lies at home sick of the palsy, grievously tormented.”
The leper came unto Him “when He had come down from the mountain,” but this centurion, “when He was entered into Capernaum.” Wherefore then did neither the one nor the other go up into the mountain? Not out of remissness, for indeed the faith of them both was fervent, but in order not to interrupt His teaching.
But having come unto Him, he says, “My servant lies at home sick of the palsy, grievously tormented.” Now some say, that by way of excuse he mentioned also the cause, why he had not brought him. “For neither was it possible,” says he, “paralyzed as he was, and tormented, and at his last gasp, to lift and convey him.” For that he was at the point of expiring, Luke says; “He was even ready to die.” But I say, this is a sign of his having great faith, even much greater than theirs, who let one down through the roof. For because he knew for certain, that even a mere command was enough for the raising up of the patient, he thought it superfluous to bring him.
What then does Jesus? What He had in no case done before, here He does. For whereas on every occasion He was used to follow the wish of His supplicants, here He rather springs toward it, and offers not only to heal him, but also to come to the house. And this He does, that we might learn the virtue of the centurion. For if He had not made this offer, but had said, “Go your way, let your servant be healed;” we should have known none of these things.
This at least He did, in an opposite way, in the case also of the Phœnician woman. For here, when not summoned to the house, of His own accord He says, He will come, that you might learn the centurion's faith and great humility; but in the case of the Phœnician woman, He both refuses the grant, and drives her, persevering therein, to great perplexity.
For being a wise physician and full of resources, He knows how to bring about contraries the one by the other. And as here by His freely-offered coming, so there by His peremptory putting off and denial, He unfolds the woman's faith. So likewise He does in Abraham's case, saying, “I will by no means hide from Abraham my servant;” to make you know that man's kindly affection, and his care for Sodom. And in the instance of Lot, they that were sent refuse to enter into his house, to make you know the greatness of that righteous man's hospitality.
What then says the centurion? “I am not worthy that you should come under my roof.” Let us hearken, as many as are to receive Christ: for it is possible to receive Him even now. Let us hearken, and emulate, and receive Him with as great zeal; for indeed, when you receive a poor man who is hungry and naked, you have received and cherished Him.
Source: Homilies on the Gospel of St. Matthew (New Advent)