Contradiction with Proverbs 15:29
Proverbs 15:29 states that "The Lord is far from the wicked," which might contradict Psalms 69:16's depiction of the Lord's kindness and readiness to listen to David's prayer.
Proverbs 15:29: The LORD [is] far from the wicked: but he heareth the prayer of the righteous.
Contradiction with Lamentations 3:44
Lamentations 3:44 suggests that God may cover Himself with a cloud to refrain from hearing prayers, which contrasts with the plea in Psalms 69:16 for God to hear and answer promptly.
Lamentations 3:44: Thou hast covered thyself with a cloud, that [our] prayer should not pass through.