Muslim woman accepting support and gifts from a non-Muslim father
Question

                Is it permissible for an adult Muslim daughter to accept financial support from her Christian father?

Is it advisable for her to arrange for her health insurance, given that her father intends to withdraw his financial support, if she does not do that, and given that health insurance is compulsory in the country in which she lives?

The daughter is a student.
Praise be to Allah.
    Firstly: 

    It is permissible for a Muslim woman to accept support and 
    gifts from her non-Muslim father, so long as that will not result in her 
    giving up anything of her religious commitment. The Prophet (blessings and 
    peace of Allah be upon him) accepted gifts from al-Muqawqas and the Negus 
    (an-Najaashi), who were both Christians. 

    Secondly: 

    Commercial insurance of all types is haraam, including health 
    insurance, because it is based on ambiguity and gambling. But if a person is 
    compelled to do that, there is no blame on him and the sin is on the one who 
    compelled him. See the answer to question no.
    133341 

    If your father has taken out this insurance, then he has 
    taken care of that for you. If he refuses to pay the insurance, it is 
    permissible for you to take out insurance for yourself, because you are 
    compelled to do that. But we do not think that you should take it out unless 
    your father actually refuses to do that. 

    We ask Allah, may He be exalted, to bless you and help you 
    and guide your father and relatives. 

    And Allah knows best.