I believe the role of either parent of any child gifted or not is to observe your child to see what your child's strengths and weaknesses are- and to raise what you have to the best of your ability. It can be a balancing act. All gifted children are different.
You have also not said whether your child is male or female (or whether you are the mother or the father). Boys need a role model, but I have met men who were raised by a single mother who turned into amazing people. Would it be better if both parents were involved? Yes, but hopefully they would be on the same page about raising the child because if they were constantly at odds about it that can be a problem as well.
If one parent is completely indifferent, then you can't really fight that- just pick up the slack. You cannot change them, all you can do is be there for your child.
PS just read indigo's post- she made excellent points
