My compassions are kindled together. [Deut. 29:23.] I will not execute the fierceness of My anger; I will not bring back Ephraim to nothing or again destroy him. For I am God and not man, the Holy One in the midst of you, and I will not come in wrath or enter into the city. (Hosea 11:8b, 9 AMP)
God was angry with Israel. They had begun to worship other gods and to mix and mingle with evil countries. Their purpose was the worship of the gods, not to spread God's love to needy people. It angered God because it's as adultery to Him when we worship other handmade, lifeless gods with the evil rituals that go with them.
God talked about destroying them like Sodom and Gomorrah. But Israel was His and compassion welled up within Him. A jealous man might be angry and do something foolish in his anger. But God is not a man, he's the Holy One. And his heart is for His wayward children. His compassion is kindled in spite of their adultery.
Compassion shows itself in many ways. In these verses God relents His fierce anger and loves them enough not to destroy them. But also Jesus spoke in the New Testament how for so long, for so many times He had longed to take Jerusalem under His wings but they would not have it. God's compassion is always there for the asking or really just receiving like a gift. He longs to give it and we are in deep need of a God who loves us.