Bukhari

Hadith Commentary:

Anas radi Allahu anhu scolded his daughter, and praised that woman’s action by attributing it to her love for the Messenger of Allah sallallahu alayhi wa sallam.

Qastallani said that from this hadith it is derived that if a woman presents herself for marriage before a pious and religious man, there is nothing shameful in it; however, to do so for worldly motives is blameworthy.

Hadith Commentary:
(1)
If a woman offers herself in marriage (hibah) to someone, such an offer of hibah could only be made to the Messenger of Allah (sallallahu alayhi wa sallam), in which case the dowry (mahr), the permission of a guardian (wali), and the presence of witnesses were not necessary. However, it is permissible to propose marriage to a righteous man. Imam Bukhari rahimahullah has established from this hadith the issue of making a proposal, that there is absolutely no harm in formally proposing marriage.
(Fath al-Bari: 9/219) (2)
This hadith establishes the virtue of the woman, as she requested marriage from a noble person possessing high qualities, but the daughter of Anas radi Allahu anhu did not pay attention to this and objected merely by looking at the outward appearance.
However, if a woman proposes marriage to someone for worldly aims and objectives, then this is the utmost level of immodesty and a disgraceful matter.
('Umdat al-Qari: 14/70)
And Allah knows best.

Hadith Commentary:
Where can such good fortune be found that the Messenger of Allah (sallallahu alayhi wa sallam) himself would choose a woman for his own marriage?

Hadith Commentary:
The zeal of this woman is truly commendable, for she set aside conventional modesty and presented herself to the Messenger of Allah (sallallahu alayhi wa sallam) for marriage so that she might attain the honor of being a Mother of the Believers (umm al-mu’minin) and be granted the companionship and closeness of the Messenger of Allah (sallallahu alayhi wa sallam) in this world and the Hereafter.
She did not concern herself with natural shyness in order to attain this distinction and honor.
Anas (radi Allahu anhu) replied to his daughter that it was not immodesty on the part of this woman that she presented herself in the service of the Messenger of Allah (sallallahu alayhi wa sallam); rather, in this regard, her rank is much higher than yours. Had she acted out of shyness, how could she have attained this honor?

The daughter of Anas radi Allahu anhu perhaps did not reflect upon the aforementioned reason; otherwise, speaking about her own marriage would not be considered “immodesty,” especially with the Messenger of Allah sallallahu alayhi wa sallam, who was her legal and Shari‘ah-appointed guardian (wali). Furthermore, desiring marriage with the Prophet sallallahu alayhi wa sallam is an extremely virtuous aspiration, for in this world it would entail serving the Messenger of Allah sallallahu alayhi wa sallam, receiving his training, and attaining the benefits and virtues of inclusion in the Prophet’s household (Haram Nabawi), and in Paradise, it would mean being blessed with his companionship forever. What greater felicity and honor could there be than this? Radi Allahu anhu wa ardaahu.