Your Children Prefer to Be with Their Mother
Perhaps you have asked your child, "Would you rather go with Mom or Dad?" You felt rejected when she said, "I want to go with Mom." They prefer to be with their mother, you tell yourself.
It may indeed be the case that your child would rather spend time with your wife than with you. But perhaps that's because your wife is more enthusiastic, more appreciative, or more attentive than you are when interacting with your child. While most daughters (particularly younger ones) might gravitate toward their mother, it is not unusual to find a girl who chooses to be with her father because he is more fun to be with, because he makes her feel so special, or because he indicates by his demeanor that he truly enjoys and looks forward to his time with her.
Your daughter may, in fact, appreciate the differentness of being with a man, her dad. The relationship which each parent has with their child is unique. As a father, your role need not be to imitate your wife's behavior when you are interacting with your daughter. On the contrary, you can provide your daughter with another flavor of positive role model which will help her establish later relationships with a greater variety of people. She will also have two different styles or approaches to life to draw upon when making future decisions.
Children want to be with a parent who clearly demonstrates his/her love, interest, and enthusiasm while being with them. You will feel the satisfaction of being wanted and loved when your children feel that too.