en_tn_lite_do_not_use/est/05/02.md

she received favor in his eyes

The phrase "received favor" is an idiom that means that he was pleased with her. The word "eyes" refers to his sight and is a metaphor for his evaluation of her. Alternate translation: "he was pleased with her" or "he approved of her" (See: rc://en/ta/man/jit/figs-idiom and rc://en/ta/man/jit/figs-metaphor)

He held out to her the golden scepter in his hand

He did this to show that he he was pleased with her.

touched the tip of the scepter

She probably did this to to show that she respected his authority and was thankful for his kindness to her.