There is a third chain for the clause concerning inviolability: al-Bazzār (2/134/1372) and others narrated it from Abū Wāʾil, from him. I have discussed it there.
Through this route, al-Bukhārī (88—Fatḥ), Muslim (1/57–58), Abū ʿAwānah (1/24–25), and others narrated, by way of two chains from Abū Wāʾil, only the first clause.
The remainder has a strong corroborating report from Abū Hurayrah, attributed to the Prophet, with the wording:
“Everything pertaining to a Muslim is inviolable to another Muslim: his blood, his property, and his honour.”
Muslim and others narrated it, and it has been referenced in al-Irwāʾ (2450).
Thus, the hadith is authentic in both its parts. All praise is due to Allah, Lord of the worlds.
3948 — “The Muslims’ pledge of protection is one. If a woman grants protection on their behalf, do not violate it; for every treacherous person will have a banner by which he will be recognized on the Day of Resurrection.”
Abū Yaʿlā transmitted it in his Musnad (fol. 202/1, Maktabah photocopy): Muḥammad ibn ʿAbd al-Raḥmān ibn Sahm narrated to us: Abū Isḥāq al-Fazārī narrated to us, from Abū Saʿd, from ʿAmr ibn Murrah, from Abū al-Bakhtarī al-Ṭāʾī, from ʿĀʾishah, who said: The Messenger of Allah, may Allah’s peace and blessings be upon him, said: ... and he mentioned it.
I say: The narrators in this chain are all trustworthy and are narrators used by Muslim, apart from Abū Saʿd, whom I was unable to identify.
As for al-Haythamī, he appears to have known him, for he said (5/329):
“Abū Yaʿlā narrated it, and it includes Muḥammad ibn Asʿad. Ibn Ḥibbān declared him trustworthy, while Abū Zurʿah declared him weak. The rest of its narrators are narrators of the Ṣaḥīḥ.”
Then, on the following page, after citing it from her with a different wording, he said: