Here, the scriptures tell us to put away anger, malice, bitterness, clamour, etc. He tells us to be tenderhearted and forgiving.
Ephesians 4:31 Let all bitterness, and wrath, and anger , and clamour, and evil speaking, be put away from you, with all malice:32 And be ye kind one to another, tenderhearted, forgiving one another, even as God for Christ's sake hath forgiven you.
Collossians 3:8 But now ye also put off all these; anger , wrath, malice, blasphemy, filthy communication out of your mouth.
And if you desire to be a bishop of the church, you should not be "soon angry".
Titus 1:7 For a bishop must be blameless, as the steward of God; not selfwilled, not soon angry , not given to wine, no striker, not given to filthy lucre;
In Galatians 5 and 2 Peter 1 God tells us to be temperate, which means to be slow to anger.
But we also see that we should not be angry "without a cause":
Matthew 5:22 But I say unto you, That whosoever is angry with his brother without a cause shall be in danger of the judgment: and whosoever shall say to his brother, Raca, shall be in danger of the council: but whosoever shall say, Thou fool, shall be in danger of hell fire.
We see that Jesus was angry (and we know that God has been angry with men many times in the Old Testament):
Mark 3:5 And when he had looked round about on them with anger , being grieved for the hardness of their hearts, he saith unto the man, Stretch forth thine hand. And he stretched it out: and his hand was restored whole as the other.
We know that Jesus was without sin, so anger in and of itself cannot be sin.
It's my thought that these scriptures are telling us not to sin in our anger or be quick to anger, and not be angry needlessly and cause contention and clamor and be bitter in our anger, but to forgive and not let the sun go down on our wrath.
Again, my thought from studying these scriptures is that we should not be angry without cause, needlessly, or because of our vanity or selfish desire, because the result of anger in our hearts without forgiveness will become sin (bitterness, malice, filthy communication), but to be angry alone and without sin is not a sin in and of itself.
John 2:13 And the Jews' passover was at hand, and Jesus went up to Jerusalem, And found in the temple those that sold oxen and sheep and doves, and the changers of money sitting: And when he had made a scourge of small cords, he drove them all out of the temple, and the sheep, and the oxen; and poured out the changers' money, and overthrew the tables; And said unto them that sold doves, Take these things hence; make not my Father's house an house of merchandise. And his disciples remembered that it was written, The zeal of thine house hath eaten me up.
Matthew 21:12 And Jesus went into the temple of God, and cast out all them that sold and bought in the temple, and overthrew the tables of the moneychangers, and the seats of them that sold doves, And said unto them, It is written, My house shall be called the house of prayer; but ye have made it a den of thieves.
John 7:24 Judge not according to the appearance, but judge righteous judgment.
Psalms 97:10 Ye that love the LORD, hate evil: he preserveth the souls of his saints; he delivereth them out of the hand of the wicked.
Proverbs 8:13 The fear of the LORD is to hate evil: pride, and arrogancy, and the evil way, and the froward mouth, do I hate.
Amos 5:15 Hate the evil, and love the good, and establish judgment in the gate...
Hate evil and judge righteously. Be angry when evil is being done, but don't sin in that anger. Hate the evil, and love the good.