Modesty and shyness bring about nothing except goodness

the Prophet ﷺ said, "Ḥayāʾ (modesty) brings about nothing except good."

Thereupon Bushayr b. Kaʿb said: It is written in ˹my˺ wisdom ˹notes˺ that Ḥayāʾ leads to solemnity; Ḥayāʾ leads to tranquility. ʿImrān said to him: I am narrating to you the saying of Messenger of Allah ﷺ and you are speaking about your ˹notes on˺ paper (wisdom book)?  

قَالَ النَّبِيُّ ﷺ «الْحَيَاءُ لاَ يَأْتِي إِلاَّ بِخَيْرٍ۔»

فَقَالَ بُشَيْرُ بْنُ كَعْبٍ: مَكْتُوبٌ فِي الْحِكْمَةِ، إِنَّ مِنَ الْحَيَاءِ وَقَارًا، وَإِنَّ مِنَ الْحَيَاءِ سَكِينَةً۔ فَقَالَ لَهُ عِمْرَانُ: أُحَدِّثُكَ عَنْ رَسُولِ اللَّهِ ﷺ وَتُحَدِّثُنِي عَنْ صَحِيفَتِكَ؟  

The Prophet ﷺ passed by a man who was admonishing his brother regarding Haya' (pious shyness from committing religeous indiscretions) and was saying, "You are very shy, and I am afraid that might harm you." On that, Messenger of Allah ﷺ said, "Leave him, for Haya' is (a part) of Faith."  

عَنْ عَبْدِ اللَّهِ بْنِ عُمَرَ ؓ مَرَّ النَّبِيُّ ﷺ عَلَى رَجُلٍ وَهْوَ يُعَاتَبُ فِي الْحَيَاءِ يَقُولُ إِنَّكَ لَتَسْتَحْيِي حَتَّى كَأَنَّهُ يَقُولُ قَدْ أَضَرَّ بِكَ فَقَالَ رَسُولُ اللَّهِ ﷺ دَعْهُ فَإِنَّ الْحَيَاءَ مِنَ الإِيمَانِ  

The Prophet ﷺ was more shy (from Haya': pious shyness from committing religeous indiscretions) than a veiled virgin girl. (See Hadith No. 762, Vol. 4)  

سَمِعْتُ أَبَا سَعِيدٍ يَقُولُ كَانَ النَّبِيُّ ﷺ أَشَدَّ حَيَاءً مِنَ الْعَذْرَاءِ فِي خِدْرِهَا