We read in Ephesians 2 that before faith in Christ, "like the rest, we were by nature deserving of wrath." Humankind was created by God from whom all good comes. Of course a big part of the good is love, and this is a love that God freely gives, of course God is love (true, but also needs to be read in its context). God made Adam and Eve free beings so that they would return his love freely.
Of course humankind sinned in the garden, in Adam and through Eve- both guilty- and therefore became sinners deserving of God's wrath, which means God just judgment. Of course wrath includes anger; God is not an unemotional Being. And I take it that God's anger and wrath, along with everything else about God, is an expression of God's love. God's love is violated, therefore he is angry. God sees sin as destructive to others, therefore he is angry with the wicked.
But back to us plain, ordinary sinners, if there really is such a thing; isn't all sin great in a bad sense, and in light of the holiness of God? God's standard is for us to obey him. In the beginning there was only one prohibition, not to eat of the one tree, while all the rest was theirs to so enjoy. But now that we are bent on disobeying God there are a good number of prohibitions, quite well summarized in the Ten Commandments. And we've broken them all, if not in actions than in our hearts (also here).
We are deserving of God's wrath. But one truth of God's atoning work in Christ, and I say just one, not the only one, and not even necessarily the main one, though I think it's important and at least part of the heart of what God has done, is that God, in becoming human- one of us, takes our just punishment on himself at the cross. Yes, Jesus is God having become human, and he took that punishment for us, so that we might not be under God's wrath and just judgment any longer, even though still deserving it, and might come into full fellowship again with God. God has done that. By faith we must accept this verdict and truth about ourselves and God's remedy in Jesus for it. And return to the God whose arms in Jesus are opened for us. Then we are accepted.
Have you accepted this, in Jesus, for yourself? Have you come back, in Jesus, to God?