"When the monarch heard these words, he saw at once the snare that had been set for his faithful servant. He saw that it was not zeal for kingly glory and honor, but jealousy against Daniel, that had led to the proposal for a royal decree. “Sore displeased with himself” for his part in the evil that had been wrought, he “labored till the going down of the sun” to deliver his friend. The princes, anticipating this effort on the part of the king, came to him with the words, “Know, O king, that the law of the Medes and Persians is, that no decree nor statute which the king establisheth may be changed.” The decree, though rashly made, was unalterable and must be carried into effect. PK 543.1"
"The wicked plotteth against the just, and gnasheth upon him with his teeth."
The EGW passage describes the princes' plot against Daniel, driven by jealousy, and the king's regret. Psalm 37:12 speaks of the wicked plotting against the just. While not a direct quote, the thematic parallel is evident.
"“Then the king commanded, and they brought Daniel, and cast him into the den of lions. Now the king spake and said unto Daniel, Thy God whom thou servest continually, He will deliver thee.” A stone was laid on the mouth of the den, and the king himself “sealed it with his own signet, and with the signet of his lords; that the purpose might not be changed concerning Daniel. Then the king went to his palace, and passed the night fasting: neither were instruments of music brought before him: and his sleep went from him.” PK 543.2"
"Then the king commanded, and they brought Daniel, and cast him into the den of lions. Now the king spake and said unto Daniel, Thy God whom thou servest continually, he will deliver thee."
The EGW passage directly quotes and references the verse from Daniel 6:16.
"God did not prevent Daniel's enemies from casting him into the lions’ den; He permitted evil angels and wicked men thus far to accomplish their purpose; but it was that He might make the deliverance of His servant more marked, and the defeat of the enemies of truth and righteousness more complete. “Surely the wrath of man shall praise Thee” ( Psalm 76:10 ), the psalmist has testified. Through the courage of this one man who chose to follow right rather than policy, Satan was to be defeated, and the name of God was to be exalted and honored. PK 543.3"
"Surely the wrath of man shall praise thee: the remainder of wrath shalt thou restrain."
Ellen White directly references Psalms 76:10 in this passage.
"And we know that all things work together for good to them that love God, to them who are the called according to his purpose."
Both passages deal with God using difficult situations for good. The EGW passage explicitly quotes Psalm 76:10, which supports the thematic parallel.