פירוש על יבמות 14:3

A deaf person who divorces by hinting and she went and betroths a different deaf person, and it goes without saying to a hearing-person, she is forbidden to return to her deaf husband. But the wife of a hearing-person that was divorced, and she went and married a deaf person, and was divorced, she is permitted to return to her hearing-husband.

A deaf male or female is not legally capable of marriage by Biblical law, whether they married another deaf person, or a deaf man who married a cognitively normal (lit. clever) woman, or a deaf woman who married a cognitively normal man. But our sages decreed for them marriage. Therefore, if a normal person betrothes the normal wife of a deaf man, she is fully betrothed to the second (i.e. normal) man, and he gives a get, and she is permitted to her deaf husband.

He is allowed to divorce her without her knowledge. Rem"a: And even if he cannot pay her ketubah or dowry, she cannot prevent it since this is a divorce. Rather she divorces and claims what he is obligated to her (Teshuvat HaRosh, and Rivash). And all this is the law, but Rabbeinu Gershom decreed that [a man] cannot divorce a woman without her knowledge if she has not violated religion as is explained (Siman 115). And even if he wants to give her the ketubah, he cannot divorce her nowadays without her knowledge (Smak Siman 184). Nowadays, if he violated and divorced her against her will, and she remarried, the man is not called a sinner (Kol Bo). If he divorced her with her knowledge, and the get was found to be invalid, he is able to divorce her afterwards against her will (ibid.). If she developed blemishes, see earlier Siman 117 whether he is able to forcibly divorce her, there are those who say that in the place of a mitzvah he is able to forcibly divorce his wife, or they permit him to marry two women (Moharam Padwa Siman 13). As was explained in Siman 1. Therefore, a ketana [girl younger than 12], can be divorced even though her knowledge is incomplete even if her father received her engagement, which is from the Torah. Or if she is a deaf mute, and he married her when she was well, and she became deaf. But if she became mentally unstable, and she cannot guard herself he cannot divorce her until she is well, since he cannot abandon her. Therefore he puts her aside and marries another, and feeds her from her own [property]. And he is not obligated in food, clothing, or marital relations, and he is not obligated to heal her. And some say that he is obligated to feed and heal her (Beit Yosef in the name of the Rashba and the Tur in the name of the Rimah and the Ra'avad). And this was decided earlier (70:4). And this is the main [law]. And he need not redeem her [from captivity]. And if he divorced her, she is divorced as long as she can guard her get. And some say that even in retrospect, she is not divorced (And this is implied by the Mahariv Siman 52). But if she is sometimes mentally unstable and sometimes as in a dream, and he divorces her when she is as in a dream because it appeared that she would stay that way, he did not do what was proper (Piskei Mahari Siman 215). And see later (121:3) And he takes her out of his house and is not obligated to care for her.