This year I was reading the following verse from Esther 4:
11. All the king’s servants, and the people of the king’s provinces, know, that whoever, whether man or woman, shall come to the king into the inner court, who is not called, there is a law; to put him to death, except such to whom the king shall hold out the golden scepter, that he may live; but I have not been called to come to the king these thirty days.
The woman sitting next to me at the megilla reading had what looked like a children's megilla full of midrashim, and it cited a midrash that Achashverosh was indeed furious to see Esther there unbeckoned, but then he suddenly saw her and remembered how much he loved her, and could not be angry any more.
It's a well-known idea that although G-d's name is not mentioned explicitly in Megillat Esther, we can take (some of?) the references to the king as referring not, or not only, to Achashverosh but also to the King of Kings.
On a daily basis, or perhaps more powerfully on Rosh Hashanah, we feel "How can I go into the King? I am not desired. I am not in relationship. We have not communicated for many days. I have not heard Him call me." So we hesitate to enter. But know - once you enter, G-d will not be able to help Him (Her) self, but instantly fall in love with our beautiful souls.
(ADDITION: Supporting this idea, I later heard in the name of the Tur that the word "Uvechen", a recurring word from the Rosh Hashanah prayer meaning "And thus", is taken from the megillah, from the exact verse where Esther takes upon herself to go to the king though she may be killed for it [4:16]).