What is the ruling on a husband beating his Alawite wife, who is from the lineage of the Noble Messenger, may God's prayers and peace be upon him, especially if the beating is repeated?

The husband has the right of guardianship over his wife, and it is permissible for him to strike her in some instances, but with conditions. Among these conditions are that the striking must be for a valid reason, not severe, and not on the face or head. What your husband did by striking you on the face and head is impermissible, as it is an unauthorized striking.