Are the aforementioned hadiths authentic, and is gold forbidden or permissible for women?

The hadith mentioned in the question was reported by An-Nasa'i, and Al-Mundhiri authenticated its chain of narration. Its text is: On the authority of Thawban, that the daughter of Hubairah came with a fatkh (a kind of ring or jewelry) on her hand. The Messenger of Allah began to strike her hand. So she complained to Fatimah. Fatimah then took off a gold necklace that was around her neck, which Abu Hasan (Ali) had given her as a gift. When the Messenger of Allah entered and the necklace was in her hand, he said: "Would it please you for people to say, 'The daughter of the Messenger of Allah, and in her hand is a chain of fire'?" Then he left. So Fatimah sent the necklace, and it was sold, and with its price, she bought a slave and freed him. Then the Messenger of Allah said: "Praise be to Allah who saved Fatimah from the Fire."

Scholars have reached a consensus on the permissibility for women to adorn themselves with gold. Scholars have taken three approaches regarding this hadith: 1. That the hadith is abrogated by the hadiths indicating the permissibility of gold for women. 2. That this prohibition is specific to those who do not pay its zakat. 3. That the hadiths of prohibition are interpreted as referring to those who display it out of pride and arrogance.

Thus, the permissibility of adorning oneself with gold for women is established. Anything that contradicts this must be interpreted if its chain of narration is authentic; otherwise, it is to be rejected.