Why does God not answer me when I pray for His wisdom?
There are many reasons, but a major one is lack of faith.
James 1:5-8 (NKJV) "If any of you lacks wisdom, let him ask of God, who gives to all liberally and without reproach, and it will be given to him. 6 But let him ask in faith, with no doubting, for he who doubts is like a wave of the sea driven and tossed by the wind. 7 For let not that man suppose that he will receive anything from the Lord; 8 he is a double-minded man, unstable in all his ways."
"The promise is to us: “If any of you lack wisdom, let him ask of God, that giveth to all men liberally, and upbraideth not; and it shall be given him. But let him ask in faith, nothing wavering.” Are there not some of us too much like the man who came to the minister, complaining that he had not been blessed, that he felt no joy; God did not answer his prayers although he had prayed again and again for a blessing. “Well,” said the minister, “let us kneel right down here and tell the Lord just how the matter stands.” After both had prayed, the minister asked him if he felt better. The man answered, “I feel no better than I did before I prayed. I did not expect to be blessed, and I am not blessed.” He had made a mockery of prayer. He did not believe the Lord would answer him, and he received just what his faith had claimed. Is it any wonder that such prayers are not answered? “Whatsoever is not of faith is sin.” Do you consider this, when you offer up your faithless petitions? Do you stop to consider how you are dishonoring God, and impoverishing your own soul? If you could but realize the wrong you are doing, you would cease to make mockery by meaningless devotions. – {ST February 24, 1888 Par. 10}
Come to God in faith and humility. Plead with him till the break of day, if necessary, till your soul is brought into such close relationship with Jesus, that you can lay your burden at his feet, and say, “I know whom I have believed.” The Lord is “able to do exceeding abundantly above all that we ask or think.” Our cold, faithless hearts may be quickened into sensibility and life, till we can pray in faith, preach in faith, and say, “The life which I now live in the flesh I live by the faith of the Son of God.” Let us seek for the fullness of the salvation of Christ. Follow in the footsteps of the Son of God, for his promise is, “He that followeth me shall not walk in darkness, but shall have the light of life.” – {ST February 24, 1888 Par. 11}
Of course, God would not give wisdom on how to hurt someone, or given wisdom that would cause us to sin against Himself. I think God also sends wisdom, sometimes, that does not suit us, therefore we keep begging God for that which was already given.