In reading through the book of Hosea, the theme, that kicks off the book, and is repeated throughout, is quite clear.

When the Lord first spoke through Hosea, the Lord said to Hosea, “Go, take to yourself a wife of whoredom and have children of whoredom, for the land commits great whoredom by forsaking the Lord.” (Hosea 1:2)

and

My people inquire of a piece of wood, and their walking staff gives them oracles. For a spirit of whoredom has led them astray, and they have left their God to play the whore. (Hosea 4:12)

God is angered by the nation’s turning away from Him and towards idols, rejecting His call to live justly and love others (Hosea 12:6 cmp. Micah 6:8). After numerous warnings, God, through the prophet, tells the nation that He will judge them, rejecting them as His people and showing them no more compassion.

The name of each of Hosea’s children emphasize the coming judgment.

• Jezreel represents an end to the house of Jehu & the kingdom of the house of Israel
• Lo-ruhama represents the lack of mercy to be shown to the house of Israel
• Lo-ammi reminds the nation that you are not my people, and I am not your God.

At the risk of missing the forest (main point) for the trees (details), there is an interesting ethical dilemma that is presented to the astute reader in the opening passages.