What is the ruling on maintaining ties of kinship for a nineteen-year-old girl who lives in her father’s house, and how should she deal with her relatives who seem unaccepting of her, especially when her mother opposes visiting them?

Kinship ties are obligatory, and severing them is forbidden. The Prophet, peace and blessings be upon him, commanded maintaining kinship ties even with those who sever them. The one who maintains ties is not the one who reciprocates, but rather the one who connects with his relatives when they cut him off. Scholars have differed on the definition of kin whose ties must be maintained. The most authoritative opinion is that it is forbidden to sever ties with unmarriageable kin (dhawu al-rahim al-mahram), and it is disliked to sever ties with marriageable kin (dhawu al-rahim ghayr al-mahram). Maintaining kinship ties is not limited to visiting or calling; it is achieved through anything that is customarily considered a connection. Its degrees vary according to ability and need; some are obligatory and some are recommended. In your case, visiting your paternal uncles and aunts is not obligatory; contacting them or corresponding with them is sufficient. If your mother refuses that, you may do so without her knowledge. Maintaining kinship ties is among the best deeds and brings blessings in sustenance and lifespan.