In creating woman God created her different from man in physical structure - the man being the stronger and larger, the woman being the smaller and more frail.
Along with the physical differences, certain emotional differences were created. In the emotional realm He created the woman with a higher sensitivity than the man. Emotionally, man is usually very coarse. His emotions move in a narrower spectrum. A woman's emotional spectrum is quite wide. She's capable of great highs; she's capable of great lows. Yes, a man can get excited and a man can get depressed. But, as a general rule, he cannot appreciate as much as a woman or enjoy as much as a woman. Men don't have the extreme highs that women can attain.
As far as intelligence is concerned, I don't believe that there's any difference at all between male or female. I believe that women are capable of as great understanding and thinking process as men, they may even have a slight advantage over man in the area we call intuition. Spiritually, of course, men and women are one in the eyes of God (Galatians 3:28).