Answer: The level of scrutiny to be applied to the law is called "INTERMEDIATE SCRUTINY"
Explanation: Intermediate scrutiny is a type of scrutiny that is used in the law court to determine how an instituted law affect the constitution. This type of scrutiny is mostly used when a filed case is also of the government interest.
Because the father has filled a case of gender equality, which the constitution as upheld. The court is meant to use an intermediate scrutiny to determine the case of the father's.
This case is of the interest of the government, because a fair government will not want to violate the Constitution, by breaking the law of gender equality.