Bathsheba approaches King Solomon with a sensitive plea regarding his brother. She asks the king to issue an order granting Abishag to him [ביאור שטיינזלץ].
The way Bathsheba frames her request is subtle. Instead of speaking directly about the woman being handed over, her words focus on the action of giving itself. She presents her plea as a request for a gift to be granted, with the gift in this case happening to be Abishag. This manner of speaking emphasizes the broader act of making a concession, rather than focusing purely on the person involved, a pattern of expression found elsewhere in biblical history [רד״ק].