Contradiction with Proverbs 28:9
If one turns away his ear from hearing the law, even his prayer is an abomination, which contrasts with the psalmist's plea for God to hear his prayer in Psalms 61:1.
Proverbs 28:9: He that turneth away his ear from hearing the law, even his prayer [shall be] abomination.
Contradiction with Lamentations 3:44
God covering himself with a cloud, so no prayer can pass through, contradicts the expectation in Psalms 61:1 that God will hear the speaker's cry.
Lamentations 3:44: Thou hast covered thyself with a cloud, that [our] prayer should not pass through.
Contradiction with Isaiah 1:15
When you spread forth your hands, I will hide mine eyes from you: yea, when ye make many prayers, I will not hear, contradicts the assurance sought in Psalms 61:1 where the psalmist calls for God to hear his prayer.
Isaiah 1:15: And when ye spread forth your hands, I will hide mine eyes from you: yea, when ye make many prayers, I will not hear: your hands are full of blood. [make...: Heb. multiply prayer] [blood: Heb. bloods]
Contradiction with James 4:3
Ye ask, and receive not, because ye ask amiss, that ye may consume it upon your lusts, contrasts with the psalmist's confidence in his cry being heard in Psalms 61:1.
James 4:3: Ye ask, and receive not, because ye ask amiss, that ye may consume [it] upon your lusts. [lusts: or, pleasures]
Contradiction with Micah 3:4
Then shall they cry unto the LORD, but he will not hear them: he will even hide his face from them at that time, contrasts the psalmist's plea for God to hear his prayer in Psalms 61:1.
Micah 3:4: Then shall they cry unto the LORD, but he will not hear them: he will even hide his face from them at that time, as they have behaved themselves ill in their doings.