Can a woman delegate someone to stone the Jamaraat on her behalf if she is afraid of the crowds?
Question

                Can a woman delegate someone to stone the Jamaraat on her behalf, because of the severity of overcrowding?.
Praise be to Allah.
    If there is severe overcrowding in which there is fear for 
    women, it is not permissible for a woman to join that crowd, because that is 
    exhausting for her and because she is going to stone the Jamrah without 
    being able to focus on the action because of the severity of the crowding. 
    For example, if the people want to hasten on and depart after two days, and 
    they have to stone the Jamaraat when the sun reaches its zenith and then 
    depart, in this case it is not possible for the woman to stone the Jamaraat 
    all, because it is dangerous for her. So in this case we say: Delegate 
    someone (to stone the Jamaraat on your behalf), and there is nothing wrong 
    with that. But in other cases, such as on the eleventh day (of 
    Dhu’l-Hijaah), it is possible to delay the stoning from the meridian until 
    the time of ‘Asr or until the night, and even until dawn. So the matter is 
    broad in scope, praise be to Allah. 

    Majmoo‘ Fataawa Ibn ‘Uthaymeen 
    (23/122). 

    The scholars of the Standing Committee for Issuing Fatwas 
    were asked: Is it permissible to stone the Jamaraat during the day of Hajj 
    nowadays on behalf of women, because of the severe overcrowding? 

    They replied:

    Allah, may He be exalted, say (interpretation of the 
    meaning):

    “Allaah intends for you ease, and He does not want to make 
    things difficult for you”

    [al-Baqarah 2:185]

    “Allah does not want to place you in difficulty”

    [al-Maa’idah 5:6]. 

    Hardship and difficulty are not the nature of this religion 
    by virtue of these two verses and similar texts. And women’s situations 
    vary: some may be pregnant and physically very large, or they may be 
    emaciated, or sick, or elderly, and some may be strong. In the case of a 
    woman who has one of the excuses referred to or something similar to that, 
    it is permissible to appoint someone (to stone the Jamaraat) on her behalf, 
    and there is no problem with that. The one who does the stoning on her 
    behalf should not do that until after getting her permission before he 
    (stones the Jamaraat) on her behalf. So he should throw stones on his own 
    behalf first, then on her behalf. As for the one who is strong, if the 
    hardship involved is extraordinary, it is permissible to appoint someone to 
    do the stoning on her behalf in the same manner as described above; he 
    should throw stones on her behalf after doing so on his own behalf. The 
    person who does the stoning on another person’s behalf should be a fellow 
    pilgrim. 

    And Allah is the source of strength. May Allah sent blessings 
    and peace upon our Prophet Muhammad and his family and companions. End 
    quote. 

    Fataawa al-Lajnah al-Daa’imah, 
    11/283 

    It also says (11/284): 

    When it is very crowded, it is permissible for a woman to 
    appoint someone to stone the Jamaraat on her behalf, even if her Hajj is the 
    obligatory Hajj. That may be done if she is sick or weak, or so as to 
    protect her pregnancy if she is pregnant, and to protect her honour and 
    dignity, so that it will not be transgressed because of the severe 
    crowding. 

    Standing Committee for Academic Research and Issuing Fatwas.