In the environment most of us have been brought up, a child can ignore all but not their mother. If your child is not in talking terms to you than it's an alarm for you to hold the things that are going away.
A mother is the "first Teacher" for a child in the world and they learn the way they are nurtured. It is very important to teach your child to honor and respect their elders and this comes in the values that you add in them pinch by pinch from the time they are in your womb. Thus a good mother is very necessary for a good child.
However, if even after growing them with values they seem to ill behave than it can be controlled at a younger age with love and care. But honestly, to be a great parent and be respected, you also need to set examples for your child and follow what you teach them first.
Hope this answers your question.