My daughter lives in the US with her mother, my ex-wife, who hasn`t got married yet. In case she got married, who has the right to take custody of the daughter, particularly since the new husband doesn`t mind that she stays with her mother? In addition, my ex-wife even offered to take full custody of our daughter in return for delaying claiming child support for one year. It is worth mentioning that when she asked for Khulu` (The wife obtaining divorce by relinquishing the divorcee rights), and I agreed, her father told me that I`m not required to spend on the daughter until I have completed my PhD. What is the ruling of Sharia on this arrangement?