For the source text click/tap here: Gittin 64
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According to Torah law, a father has the right to accept kiddushin on behalf of his daughter when she is a minor, and she will be married immediately. A na’ara is in a situation where either she or her father can accept kiddushin on her behalf. Once she passes that stage, she is an adult and her father can no longer act on her behalf with regard to marriage.
The Mishna on our daf teaches that in the case of a na’ara, both she and her father have the ability to accept a geṭ for her. Rabbi Yehuda disagrees, arguing that only the father has the ability to do so. All agree that a basic principle is that for a geṭ to work the woman receiving it must understand the significance of the geṭ and recognize the need to guard the document properly.