Does a mother's anger, due to her son's desire for independence to save himself from his siblings' harm, result in God's anger?

The pleasure of Allah Almighty is linked to the pleasure of one's parents, and His wrath is linked to their wrath. However, this is conditioned on the pleasure and wrath being based on truth, not falsehood. If you are harmed by staying in the house and cannot avert that harm except by leaving it, and you are safe from temptation by living alone, then there is no sin upon you in doing so. Nevertheless, you must always be dutiful to your mother and treat her with kindness.