Is a father's anger considered a reality, and to what extent is the questioner sinful for her brother's estrangement from her after her unwilling move to her husband's house, and is she obligated to continue trying to reconcile their kinship despite the insults and the negative impact of that on her marital life?

The Shari'ah desires harmony and affection among Muslims and the strengthening of the bonds of brotherhood, and this is particularly emphasized among relatives. Efforts should be made to reconcile disputes and seek assistance from Allah and wise people. Consummating the marriage is good, and your father or brother has no right to object to it if the husband has paid the dowry and the wife is capable of intercourse. If your guardian has no legitimate Shari'ah reason to prevent you from entering into conjugal relations with your husband, then there is no basis for his anger. Strive to mend your relationship with your father and brother, increase your supplications, and seek assistance from wise people. Be keen to maintain kinship ties as much as possible; if visiting causes harm, then there is no blame in refraining from it and maintaining connection through other means.