Sun is an educated woman, an art history major. She's read enough mythology to know that one does not offer anything to a God unless they are prepared to follow through with the consequences of that offer. This is why she does not say is there anything I can do for you? or something similar to it. There will be no blanket offers of anything from her.

Still, she will think of something. In fact...

"In the springtime, if I am still here, I would like to start a garden. When I do, I will plant something in your honor."