Commentary for Avodah Zarah 125:3
ואי דלא אמר לה קני ליך מעכשיו היכי מצי מקרבה (ויקרא כז, יד) ואיש כי יקדיש את ביתו קדש אמר רחמנא מה ביתו ברשותו אף כל ברשותו
But if he did not say to her, “Acquire it immediately” how could she offer it, “And when a person shall sanctify his house to be holy” (Leviticus 27:14) says God, just as the house [which he sanctifies] must be in his possession, so too must everything [which is dedicated to the Sanctuary] be in the person's possession!
Daf Shevui to Avodah Zarah
If he does not tell her that the animal is hers immediately, then it is not hers and she can’t sacrifice it. A person can never sacrifice something that is not his or hers.
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