He tells her to shake hands with men and threatens to divorce her if she does not do it
Question

                A man tells his wife to shake hands with men, and he strongly insists on that, and the matter has reached the point of divorce. They have a daughter, and the wife refuses to do that. What should the wife do? What advice do you give them?.
Praise be to Allah.Firstly: 
It is not 
    permissible for a man to shake hands with a non-mahram woman, and it is not 
    permissible for her to allow that. 
The fact 
    that such hand-shaking is haraam is indicated by the report narrated by 
    al-Bukhaari (4891) and Muslim (1866) from ‘Aa’ishah (may Allaah be pleased 
    with her) who said: By Allaah, the hand of (the Prophet)  (peace and 
    blessings of Allaah be upon him) never touched the hand of a woman when 
    accepting the oath of allegiance. When he accepted a woman’s oath of 
    allegiance he said: “Go, for I have accepted your oath of allegiance.” 
This was the 
    infallible one, the best of mankind, the leader of the sons of Adam  
    (peace and blessings of Allaah be upon him); he never touched women although 
    the basic principle concerning the oath of allegiance is that it should be 
    done with a handshake. So how about other men? 
It was 
    narrated that Umaymah, the daughter of Raqeeqah, said: The Messenger of 
    Allaah  (peace and blessings of Allaah be upon him) said: “I do not 
    shake hands with women.” Narrated by al-Nasaa’i (4181) and Ibn Maajah 
    (2874); classed as saheeh by al-Albaani in Saheeh al-Jaami’ (2513). 
    It was narrated from Ma’qil ibn Yasaar (may Allaah be pleased with him) that 
    the Prophet  (peace and blessings of Allaah be upon him) said: “If one 
    of you were to be stabbed in the head with an iron needle, that would be 
    better for him than touching a woman who is not permissible for him.” 
    Narrated by al-Tabaraani; classed as saheeh by al-Albaani in Saheeh
    al-Jaami’ (no. 5045). 
This clearly 
    shows that it is haraam.  
Al-Kharashi 
    said in Sharh Mukhatasar Khaleel (1/275): Shaking hands with a woman 
    who is not a mahram is not permitted.  And Allaah knows best. End quote. 
In 
    Haashiyat al-‘Adawi ‘ala Sharh al-Risaalah (2/474) it says: It is not 
    permissible for a man to shake hands with a woman, even if she is very old. 
    End quote. 
“Very old” 
    means so old that she would not be regarded as desirable. 
In 
    al-Mawsoo’ah al-Fiqhiyyah (29/296) it says: There is no difference of 
    opinion among the fuqaha’ that it is not permissible to touch the face and 
    hands of a non-mahram woman even if there is no risk of desire. This applies 
    if she is a young, desirable woman. The Maalikis and Shaafa’is are of the 
    view that it is haraam to touch a non-mahram women and they make no 
    distinction between young and old women. End quote. 
Secondly:  
A wife is 
    not obliged to obey her husband if he tells her to shake hands with 
    non-mahram men, rather it is not permissible for her to do that, because 
    there is no obedience to any created being if it involves disobedience 
    towards the Creator. 
This husband 
    has to fear Allaah and beware of His wrath and painful punishment. This 
    command of his goes against the command of Allaah, and his threatening his 
    wife with divorce is unjust treatment of her. He should be happy that she is 
    obeying her Lord and he should help her to do that.  
Thirdly: 
If the 
    husband persists in his attitude, and threatens to divorce her, and insists 
    on that, then it seems – and Allaah knows best – that the wife may shake 
    hands with men from behind a barrier, and do the lesser of the two evils so 
    as to ward off the greater of the two. But she should reduce the chances of 
    meeting men as much as she can so that she can avoid shaking hands. She 
    should also try to advise her husband and explain the truth to him, so that 
    he will change his mind.  
If the 
    husband is not convinced by that, and he insists that she shakes hands 
    without a barrier, then she should not obey him, and she should be patient 
    and seek reward with Allaah, even if she gets divorced, especially if this 
    is a first divorce. Perhaps the husband will come to his senses if a divorce 
    takes place, and will realize that he is destroying his family himself, for 
    the sake of something haraam. 
She should 
    also seek the help of righteous people among his family and hers, to resolve 
    this dispute and convince the husband to change his mind, and remind him to 
    fear Allaah and remember that He is always watching. 
The wife 
    should also be certain that Allaah will grant her a way out, for He does not 
    forsake those who obey Him and He defends the believers.  
We ask 
    Allaah to set the affairs of the Muslims straight. 
And Allaah 
    knows best.