It is an Anglican school, based on the CNN report. The school also stated that they "do not understand why she (the mom) would want to enroll her child in a school that would undercut her own personal values at home." I tend to agree with them on this. It simply doesn't make sense either way.
I guess the answer to your question depends on the stated goal of the Christian school. Every school is different. From my experience, Christian schools can fit into three broad categories --
1. A school which has evagelism as a primary goal, where all children are welcome;
2. A school that that promotes Christian values but does not actively evangelize, where all children are welcome; and
3. A school that exists for Christian parents in order to provide a Christian education to their children.
Thus, this child might be a fit for schools in categories one and two. Most likely, she would not be a fit for a school in category three.
Our own school fits into the third category. The mission of the school is stated very clearly to all prospective parents: "... exists to serve children from families who are active members of a Christ-centered church by providing a Reformed Christian education emphasizing excellence in the spiritual, academic, physical, and social training of young people to prepare them to serve their communities as worthy ambassadors for Christ."
In addition, the school requires a personal interview with the principal and a letter from your pastor stating that you are active member at your church. Perhaps if the school had done its homework up front (pun intended), they could have avoided this situation.