It's unclear if Myrtle Grove plans to participate in the voucher program. The school's headmaster did not respond to repeated requests for comment.
Representative Susi Hamilton said she would not support the school accepting vouchers.
"They can do whatever they want as long as they are fully private and they are not receiving public dollars," said Hamilton. "At the end of the day, intolerance is something that I don't believe the Wilmington community and the Southeastern part of the United States is going to continue to live with."
Representative Rick Catlin, said the school has the right to uphold its policy because it is private. He said that the situation is similar to a private school only allowing "all-boys" or "all-girls". He said he would be in agreement with allowing the school to accept vouchers.
Low-income families will be able to apply for vouchers of up to $4,200 dollars annually to offset the cost of sending a child to private school. Tuition at Myrtle Grove ranges from $2,160 in pre-school to $6,300 in middle school, according to the school's website.
To apply for a voucher for the 2014-2015 school year, a family must meet the income requirements for the free or reduced lunch program. The application period will begin in February.