She does not have a place to live; where should she observe ‘iddah following khula‘?
Question

                If a Lady want khula from her husband and her parents are not supporting her on that decision.and she has not intercourse with her husband over a year.if she took Khula from her husband.and she has no place to live for 3 months to spend her iddah.Her husband after khula and her parents are not willing to keep her because they were against her decision of khula and no one in relative is willing her to stay with them.if she recieve a marriage proposal from another guy my question is that in this hard time when she has no place to go.Can she marry again with another man without sitting in iddah and spend 3 months without having any sexual relation with him in his house?
Praise be to Allah.
      Firstly: 

    There is a difference of scholarly opinion concerning the 
    length of ‘iddah following khula‘. What we state in our fatwas on this 
    website is that it is one menstrual cycle, as explained previously in the 
    answer to question no. 5163

    If the woman menstruates following khula‘ then becomes pure, 
    then her ‘iddah has ended and it is permissible for her to get married; she 
    does not have to complete three months or three menstrual cycles according 
    to this opinion. 

    Secondly:

    It is not permissible for the woman to get married during the 
    ‘iddah at all, not under any circumstances, whether the husband consummates 
    the marriage with her or not. If this marriage contract is done, then it is 
    invalid and haraam, because Allah, may He be exalted, says (interpretation 
    of the meaning):

    “… nor resolve on the tie of marriage till the term 
    prescribed is fulfilled.”

    [al-Baqarah 2:235]

    i.e., do not do the marriage contract with a woman who is 
    observing ‘iddah until her ‘iddah has ended.

    Ibn Katheer said: The scholars are unanimously agreed that 
    the marriage contract during the ‘iddah is not valid.

    End quote from Tafseer Ibn Katheer, 1/640 

    Ibn Qudaamah said: If (a man) marries a woman who is still 
    observing ‘iddah, and they are both aware of the ‘iddah and the prohibition 
    on marrying during the ‘iddah, and he has intercourse with her, then they 
    are zaanis (fornicators).

    End quote from al-Mughni, 8/127 

    Thirdly: 

    The basic principle is that the woman who is irrevocably 
    divorced or separated by means of khula‘ should observe ‘iddah in her 
    family’s house. If that is not possible, then she may spend the ‘iddah 
    period in any accommodation where she will be safe. 

    If her (ex-)husband gives her permission to stay in their 
    marital home until the ‘iddah ends, there is nothing wrong with her staying 
    there, on condition that she is safe from him and has accommodation that is 
    completely separate from him. 

    Ibn Qudaamah said: The woman who is irrevocably separated by 
    means of annulment or divorce (talaaq) may observe the ‘iddah wherever she 
    wants. 

    End quote from al-Kaafi, 3/207 

    And Allah knows best.