When Fatimah (may Allah be pleased with her) came to the Prophet (peace and blessings be upon him), he would stand up for her

It is narrated from Sayyidah Asma' bint Umays (may Allah be pleased with her) that she said: I was present at the wedding procession of Sayyidah Fatimah (may Allah be pleased with her), the daughter of the Messenger of Allah (peace and blessings be upon him). When morning came, the Prophet (peace and blessings be upon him) came to the door and said: "O Umm Ayman, call my brother for me." She said: He is your brother, and you are marrying your daughter to him?! He (peace and blessings be upon him) said: "Yes, O Umm Ayman." Then Sayyiduna Ali came, and the Prophet (peace and blessings be upon him) sprinkled water on him and supplicated for him. Then he said: "Call Fatimah for me." Asma' (may Allah be pleased with her) said: She came stumbling out of shyness. The Messenger of Allah (peace and blessings be upon him) said to her: "Be at ease, I have married you to the person most beloved to me among my household." Asma' said: The Prophet (peace and blessings be upon him) sprinkled water on her too. Then the Messenger of Allah (peace and blessings be upon him) turned back and saw a figure in front of him and asked: "Who is this?" I said: I am Asma'. He (peace and blessings be upon him) asked: "Asma' bint Umays?" I said: Yes. He (peace and blessings be upon him) said: "Have you come for the wedding procession of the daughter of the Messenger of Allah?" I said: Yes. So he (peace and blessings be upon him) supplicated for me.

It is narrated from the Mother of the Believers, Sayyidah Aishah (may Allah be pleased with her), that she said: I have not seen anyone who resembled the Messenger of Allah (peace and blessings be upon him) more than Sayyidah Fatimah (may Allah be pleased with her) in manner of speech and conversation. Whenever she came to him (peace and blessings be upon him), he (peace and blessings be upon him) would stand up to receive her, kiss her, welcome her, take her hand and seat her in his own place. Likewise, whenever the Messenger of Allah (peace and blessings be upon him) came to her, she would stand up to receive him (peace and blessings be upon him) and kiss his (peace and blessings be upon him) blessed hand.
This hadith is sahih (authentic) on the condition of the two Shaykhs (Bukhari and Muslim), but they did not record it.