Can a Muslim woman
    uncover in front of her non-Muslim father, and can she travel with him?
Question

                Can a Muslim woman uncover in front of her
      non-Muslim father, and can she travel with him?
Praise be to Allah.Ibn Qudaamah (may Allaah have mercy on him) said:
“A kaafir is not a mahram for his Muslim female relative. Ahmad said
    concerning a Jew or Christian whose daughter becomes Muslim: ‘He cannot travel with
    her, he is not a mahram for her.’ Apparently he meant that he is not her mahram for
    the purposes of travelling. As far as looking is concerned, she does not have to wear
    hijab in front of him, because Abu Sufyaan came to Madeenah at the time when he was still
    a mushrik, and visited his daughter Umm Habeebah. She folded up the Prophet’s bed so
    that he would not sit on it, but she did not wear hijab in front of him, and the Prophet 
    (peace and blessings of Allaah be upon him) did not command her to do so.” (al-Mughni,
    part 7, Ahkaam al-Khutbah).