And We had prevented from him [all] wet nurses before, so she said, "Shall I direct you to a household that will be responsible for him for you while they are to him [for his upbringing] sincere?"
The intense Grief of Musa's Mother, and how He was returned to Her
Allah tells us how, when her child was lost in the river, the heart of Musa's mother became empty, i.e., she could not think of any matter in this world except Musa. This was the view of Ibn `Abbas, Mujahid, `Ikrimah, Sa`id bin Jubayr, Abu `Ubaydah, Ad-Dahhak, Al-Hasan Al-Basri, Qatadah and others.
إِن كَادَتْ لَتُبْدِى بِهِ
(She was very near to disclose his (case),) means, because of the intensity of her grief, she almost told people that she had lost a son. She would have disclosed her situation, if Allah had not given her strength and patience. Allah says:
وَأَوْحَيْنَا إِلَىٰ أُمِّ مُوسَىٰ (28:7) The word Wahy (inspiration) is used here in its literal meaning. It does not mean the Wahy that is peculiar to prophets. This point has already been explained under Surah Taha.
Tazkirul Quran
Maulana Wahiduddin KhanOn ayahs 9–13
In the period when Moses was born, the children of the Israelites were being killed. Moses’ mother was worried on this account. At that time, probably by means of a dream, she was shown how he could escape if she put him in a small box and floated it down the river Nile. Three months later, she floated Moses in a small boat. While floating, this boat arrived in front of Pharaoh’s palace. Pharaoh’s wife (Aasia) who was a virtuous lady, was filled with pity on seeing the innocent and charming face of Moses. So, on her advice, Moses was kept in Pharaoh’s palace. Tradition has it that at this juncture, Pharaoh’s wife said that the baby may become a source of happiness for them. Pharaoh replied saying, ‘For you, not for me.’ Pharaoh might have said so because of being emotionally unattached but it later turned out to be true.
Uthmani text of the Madinah mushaf (King Fahd Complex). Translation: Saheeh International. Tafsir via Quran.com.