To what extent is the hadith true that the Messenger of Allah received his wet nurse Halimah al-Sa'diyah in the presence of the Mother of the Believers Khadijah, may Allah be pleased with her, and asked her permission before entering, then received her well and honored her?

The Fatwa (definition)'s Summary: The arrival of Halima Al-Sa'diya to the Prophet, peace and blessings be upon him, during the time of Khadijah, may Allah be pleased with her, has not been established. This was only mentioned in a very weak narration. As for her arrival to him, peace and blessings be upon him, at other times without mentioning Khadijah, there are multiple narrations regarding it, but they are not free from weakness, irsal (missing the companion in the chain), or i'dhal (missing two or more successive narrators). However, their totality may indicate a basis for her coming, but none of them proves her coming during the Prophet's marriage to Khadijah.