Choosing a Name - Urgent

Greetings! 

A week and a half ago, thank God, my first daughter was born. Since the beginning of the pregnancy I heard the name Lael and became very attached to it. When she was born, I felt that this was the name suited to her, and we decided to call her that. We are a religious family, so we decided to ask a rabbi and called the Sephardi halacha hotline, and the rabbi there approved the name and we immediately registered it through the Interior Ministry as well. Later we understood that the halacha hotline deals only with halachic matters, so we asked another rabbi, and he did not recommend it at all, on the grounds that the meaning is not good - like a sacrifice. The point is that from the beginning we wanted to add the letter heh to the name, le-hel(לה-אל), and then the meaning is that Hashem is with her. In addition, the name Lael appears in the Torah, about the fifth generation to our father Jacob, 'Eliasaf son of Lael'. It is very hard for us to choose another name; we became very attached to it, and I personally believe that a small prophecy is given to parents, so if we have become so attached to the name and our meaning is good, then there is no reason not to call her that. I would be very glad to receive an answer so that on Shabbat we can already give her a name, with Hashem's help. By the way, after that we asked the rabbi about the name Shai-El as well, and he did not recommend that one either, and it is very hard for us to connect with other names.. Could either of the names be good?