Contradiction with Proverbs 28:9
This verse contradicts Psalms 54:2 by stating that the prayer of one who turns away from God's law is an abomination, implying that not all prayers, like the plea in Psalms 54:2, are heard by God.
Proverbs 28:9: He that turneth away his ear from hearing the law, even his prayer [shall be] abomination.
Contradiction with Isaiah 1:15
While Psalms 54:2 calls for God to hear prayer, Isaiah 1:15 indicates God will hide His eyes and not listen when prayers are made by those whose hands are full of blood.
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 Micah 3:4
In contrast to the request for God's attention in Psalms 54:2, this verse notes that there are times when God will not hear cries for help due to the evil deeds of the supplicants.
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.