“The mother of my child has been ordered by the court to pay child support, she simply will not pay a penny and hasn’t since the baby was born 10 months ago, do I still have to let her have visitation?”
YES! Though some states consider non-payment of support as a factor in proceedings to determine custody and visitation, and you may have facts necesary for an action in contempt, an order is an order. Just because baby-momma is not following a Court order, does not relieve you of your duty to follow Court-ordered visitation.
There probably is some department of child support collection in your state which would pursue child support payments under Court orders and give you some help in enforcement.