All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His Slave and Messenger.
The importance of bashfulness is not controversial because it is part of faith, as indicated by the Prophet, sallallaahu ‘alayhi wa sallam. [Al-Bukhari and Muslim] Nonetheless, it is permissible under Sharee‘ah for the woman to uncover her head before her father and embrace him as long as there is neither suspicion nor temptation. Whereas, this is strictly forbidden when there is any suspicion or expected temptation to eliminate means that could lead to unfavorable results. The woman is permitted under Sharee‘ah to reveal the places of adornment before her Mahram men and husband. Allaah The Exalted Says (what means): {And not expose their adornment except to their husbands, their fathers, their husbands' fathers, their sons,…} [Quran 24: 31]
It was narrated that Abu Bakr kissed ‘Aa’ishah on her cheek. [Abu Daawood; Al-Albaani: Saheeh]
Ibn ‘Abbaas narrated that the Prophet, sallallaahu ‘alayhi wa sallam, picked up his dying daughter and then embraced her and held her to his breast and she died in this position. [Ahmad, Ibn Hibbaan and At-Tirmithi; Shu‘ayb Al-Arnaa’oot: Hasan; Al-Albaani: Saheeh]
Scholars stated that it is permissible to touch the parts of the body of one's Mahram women at which he is permitted to look. They also stated that it is prohibited to lustfully look at these parts. In such a case, when looking is prohibited, then touching is worthier of being prohibited.
Allaah Knows best.