question #1 Sahih Muslim 336f, Book 6, Hadith 99 : What is the significance of privacy and modesty during bathing in Islamic tradition?

I went to the Messenger of Allah (ﷺ) on the day of the Conquest of Mecca and found him taking a bath, and Fatimah, his daughter, had provided him privacy with the help of a cloth. I gave him salutation and he said: Who is she? I said: It is Umm Hani, daughter of Abu Talib. He (the Holy Prophet) said: Greeting for Umm Hani. When he had completed the bath, he stood up and observed eight rak’ahs wrapped up in one cloth. When he turned back (after the prayer), I said to him: Messenger of Allah, the son of my mother ‘Ali b. Abu Talib is going to kill a person, Fulan b. Hubaira whom I have given protection. Upon this the Messenger of Allah (ﷺ) said: We too have given protection whom you have given protection, O Umm Hani. Umm Hani said: It was the forenoon (prayer).