en_tn_lite_do_not_use/2sa/14/12.md

your servant

To show respect for the king the woman refers to herself as "your servant."

speak a further word to

"talk about something else to." The woman is requesting to speak to the king about another topic.

Speak on

This is an idiom. The king was giving her permission to continue speaking. Alternate translation: "You may speak to me" (See: rc://en/ta/man/jit/figs-idiom)