Certainly, Lord. The woman's reply showed that she was not hurried along by a blind or thoughtless impulse to offer a flat contradiction [1] to what Christ had said. As God preferred the Jews to other nations, she does not dispute with them the honor of adoption, and declares, that she has no objection whatever that Christ should satisfy them according to the order which God had prescribed. She only asks that some crumbs -- falling, as it were, accidentally -- should come within the reach of the dogs And at no time, certainly, did God shut up his grace among the Jews in such a manner as not to bestow a small taste of them on the Gentiles. No terms could have been employed that would have described more appropriately, or more justly, that dispensation of the grace of God which was at that time in full operation.

Footnotes

1 - "Pour se rebequer et heurter directement;" -- "to give a saucy and open contradiction."

And she said, Truth, Lord - What you say is true.
Let it be that the best food should be given to the children - let the Jews have the chief benefit of thy ministry; but the dogs beneath the table eat the crumbs. So let me be regarded as a dog, a pagan, as unworthy of everything. Yet grant one exertion of that almighty power displayed so signally among the Jews, and heal the despised daughter of a despised heathen mother."

Truth, Lord - Ναι κυριε, Yes, Lord. This appears to be not so much an assent, as a bold reply to our Lord's reason for apparently rejecting her suit.
The little dogs share with the children, for they eat the crumbs which fall from their masters' table. I do not desire what is provided for these highly favored children, only what they leave: a single exertion of thy almighty power, in the healing of my afflicted daughter, is all that I wish for; and this the highly favored Jews can well spare, without lessening the provision made for themselves. Is not this the sense of this noble woman's reply?

And she saith, truth, Lord,.... She owns all that he had said to be true, that he was sent only to the lost sheep of the house of Israel: that she was indeed but a dog, a poor sinful creature, and unworthy of any favour; and that it was not right and fitting that all the children's bread should be taken from them and given to dogs:
yet the dogs eat of the crumbs which fall from their master's table. The Syriac and Persic versions add "and live": thus she wisely lays hold upon and improves in a very beautiful manner, in her own favour, what seemed to be so much against her. It is observed (q) of the Syrophoenicians in general, that they have all, in their common talk, something "pleasant and graceful", as there is indeed in this smart reply of her's, who was one of that people. She suggests that though the Gentiles were but dogs, and she one of them; yet their common Lord and Master had a propriety in them, and they in him; and were to be maintained and fed, and ought to live, though not in such fulness of favours and blessings, as the Jews, the children of God: nor did she desire their affluence, only that a crumb of mercy might be given her, that her poor daughter might be healed; which was but a small favour, in comparison of the numerous ones he heaped upon the children, the Jews: nor would this be any more detrimental to them, than it is to the children, for the dogs, under the table, to eat of the crumbs that fall.
(q) Eunapius in Vita Libanii.

Truth, Lord. Observe that she acquiesces heartily in Christ's declaration: it is not fit that the dogs be fed before the children.
Yet the dogs eat of the crumbs. The word for crumbs is a diminutive, and means little crumbs.