A son is born to David and Bathsheba.  The Lord sent word through Nathan, the prophet that this son was to be named Jedidiah, and yet they named him Solomon.  Why?

In 2 Samuel 3:2-5 are listed sons born to David in Hebron. In 1 Chronicles 3:4-9 the sons of David born in Jerusalem are listed. Only one daughter is named but it doesn’t mean that David only had one daughter. In fact in the following Scripture, it says there were daughters (plural).
2 Sam 5:13
After he left Hebron, David took more concubines and wives in Jerusalem, and more sons and daughters were born to him.

With as many wives and concubines that David had, there surely were several daughters. Since Tamar is listed as the sister of Absalom, they must have had the same mother. Tamar was the half-sister of Amnon. Amnon raped Tamar which led to the murder of Amnon by Absalom's men.

Even though David had some bloodthirsty offspring, one was not bloodthirsty and was singled out for some great things...Solomon.

The wise woman sent to David from Joab utters some very profound words spiritually speaking in 2 Samuel 14:14 But God does not take away life; instead he devises ways so that a banished person may not remain estranged from him.
How very true for all unbelievers.  God does not take away their eternal life.  He offers many, many opportunities for the unbeliever to know Him.  Some of those opportunities may come through believers. We may never know the impact we may have on others, through our witness to them, or the words we say, or the way we live.  After all, we are His ambassadors here on earth.