"Like an eagle arousing his nest hovering over his young, he spreads his wings, he takes it, he carries it on his pinions." (32;11)
Rashi (32;11) explains that Hashem is compared to an eagle as He led the nation of Israel with mercy and compassion similar to an eagle who never enters his nest suddenly-rather, he flaps and sakes his wings above his children between branches so that his children could awake and have the strength to receive him.
Later Rashi (32;11) explains that an eagle carries their children on top of themselves as they think "better that the arrow should enter me and not enter my children." Therefore, if an eagle constantly risks their own lives in order to ensure the safety of their children then why did the torah need to mention the fact that eagles also enter their nest slowly in order so that their children could awake nicely?
Rabbi Yochanan Zweig explains that by entering their nest slowly an eagle shows that they sincerely care about the wellbeing of their children. In contrast, one who wakes up their children roughly shows a lack of concern for their kids. For example, if one wakes up their child for school very roughly then they show that they just want their child to get up so that they could go to work. However, if one wakes up their child for school in a very nice manner that they show that they truly want their child to get a good education. Therefore, Rabbi Zweig explains that it wasn't enough for the pasuk to teach us that eagles constantly risk their own lives for their children--as one must also constantly show their children love. Thus, the pasuk also teaches us that eagles enter their nest in a manner so that their children could awaken pleasantly in order to teach us that they not only risk their lives for their children but that they also show their children that they sincerely care about their wellbeing.