Kesuvos 4:3 discusses various cases of a convert who commits adultery as a Na'arah Me'orasah. In response to my other question on this Mishnah, Heshy raised an intriguing question:
Wait... how can a naarah convert get married? The father is supposed to accept her kiddushin, but she doesn't have a father.
Background
Kiddushin 43b records the following dispute, regarding an earlier dispute:
תנן התם נערה המאורסה היא ואביה מקבלין את גיטה אמר רבי יהודה אין שתי ידים זוכות כאחד אלא אביה מקבל את גיטה וכל שאין יכולה לשמור את גיטה אין יכולה להתגרש אמר ר"ל כמחלוקת לגירושין כך מחלוקת לקידושין ורבי יוחנן אמר מחלוקת לגירושין אבל לקידושין דברי הכל אביה ולא היא
It was taught in a Mishnah there (Gittin 6:2): "A Na'arah Me'orasah – she and her father can accept her get. R' Yehudah said, two hands cannot accept as one; rather, her father accepts her get, but anyone who cannot guard her own get cannot be divorced." Reish Lakish said: As the dispute by divorce, so, too, by marriage. R' Yochanan said: The dispute is by divorce, but by marriage, everyone says her father, and not she [can accept it].
The halacha, in practice, follows R' Yochanan (Shulchan Aruch, Even Ha'ezer 37:4 and 37:11).
Thus, Heshy asks: If a Na'arah's father must be the one to accept her marriage, as R' Yochanan maintains, how can a convert possibly get married as a Na'arah? Halachically, she has no father! As Reish Lakish holds that the dispute regarding divorce applies to marriage as well, he can answer that the Mishnah in Kesuvos accords with the Chachamim, rather than R' Yehudah. But how does R' Yochanan defend himself against this Mishnah?