Contradiction with Matthew 28:20
Unlike Psalms 27:5, which speaks of God hiding the faithful in trouble, Matthew 28:20 promises God's continual presence without mention of hiding.
Matthew 28:20: Teaching them to observe all things whatsoever I have commanded you: and, lo, I am with you alway, [even] unto the end of the world. Amen.
Contradiction with 2 Timothy 3:12
Contrasts Psalms 27:5 by stating that all who live godly will suffer persecution, not necessarily be hidden from it.
2 Timothy 3:12: Yea, and all that will live godly in Christ Jesus shall suffer persecution.
Contradiction with John 16:33
While Psalms 27:5 talks about protection, John 16:33 acknowledges tribulation in the world despite Jesus' reassurance.
John 16:33: These things I have spoken unto you, that in me ye might have peace. In the world ye shall have tribulation: but be of good cheer; I have overcome the world.
Contradiction with James 1:2
Encourages joy in trials, unlike the protective hiding implied in Psalms 27:5.
James 1:2: My brethren, count it all joy when ye fall into divers temptations; [temptations: or, trials]
Contradiction with Romans 8:35-37
Suggests believers can face tribulation and distress, contrary to the protective message in Psalms 27:5.
Romans 8:35-37: Who shall separate us from the love of Christ? [shall] tribulation, or distress, or persecution, or famine, or nakedness, or peril, or sword?