He refuses to honor the petition. He says no.
According to 2 Corinthians 12:7-12 To keep me from becoming
conceited because of these surpassingly great revelations, there was given
me a thorn in my flesh, a messenger of Satan, to torment me.
8 Three times I pleaded with the Lord to take it away from
me. 9 But he said to me, "My grace is sufficient for you,
for my power is made perfect in weakness." Therefore I will boast all the
more gladly about my weaknesses, so that Christ's power may rest on me.
10 That is why, for Christ's sake, I delight in weaknesses,
in insults, in hardships, in persecutions, in difficulties. For when I am
weak, then I am strong. 11 I have made a fool of myself,
but you drove me to it. I ought to have been commended by you, for I am not
in the least inferior to the "super-apostles," even though I am nothing.
12 The things that mark an apostle "signs, wonders and miracles"
were done among you with great perseverance.
The Apostle Paul requests God three times to remove the thorn in the flesh
given to him. Instead of taking it away, God said "My grace is sufficient
for you, for my power is made perfect in weakness."
In other words, when Paul was weak, God was glorified. It showed him and
others that God is the source of Paul's strength. Therefore Paul boasts in
his weaknesses that he is unable to do anything apart from God. He takes
joy in the fact that he has weaknesses, because God is Savior and Lord. It
humbles him and helps him to keep from boasting in his own strength. Instead
he boasts of God's strength.
According to Matthew 26:38-40 Then he said to them, "My
soul is overwhelmed with sorrow to the point of death. Stay here and keep
watch with me." 39 Going a little farther, he fell
with his face to the ground and prayed, "My Father, if it is possible, may
this cup be taken from me. Yet not as I will, but as you will."
40 Then he returned to his disciples and found them
sleeping. "Could you men not keep watch with me for one hour?" he asked
Jesus asked God to let the cup of his death for the sacrifice of sin pass
from him, to make another way for sinners to be saved. God did not answer
Jesus' request, and therefore, after dealing with the agony in his own flesh,
He recognized and glorified God - and he went to the cross. For joy was set
before him, in that God was the provider and Lord, and in spite of the pain
it may cause him, He would take joy in it.
So we find that God refuses to honor the petition. He says no.