It is the "parents" of this child who are causing harm to her by openly living in a continuous state of mortal sin, thereby contradicting the Faith and morals of the Church - and teaching the child as she grows to do the same. Under these circumstances, the school would have little hope in helping the child "overcome that".
Education of any child is first and foremost the responsibility of parents who head the family. Any school, public or private, should be seen as ancillary to the family. A Catholic education is supposed to be just that. It is meant to teach not only reading, writing, math, etc., but to help instill the Faith and morals and example of virtuous living according to the decrees of God. In a word: Holiness. The eternal salvation of souls is paramount.
The disciplinary stand that the Church takes with parents of children as in this case, is meant to call them back to the fullness of Truth through conversion and repentance. The choice is theirs. The Church can't force them to accept it. For the sake of their souls, and that of their child, the Church can only hope that they turn from pride to penance.
So we must destroy the innocence and faith of hundreds of other heterosuxal and decent Catholic parents' children in that school in order to accomodate the cynical whim of a lesbian agenda driven couple, who are using "their" daughter to drive their agenda against their only viable enemy in America, the Catholic Church?
Bullshit.
I, too, feel sorry for the kid--but your analysis has glossed over a few distinctions, the most important of which is that the school is NOT condemning, nor punishing, the child for the 'sins of her parents.' Rather, they simply denied admittance.
The child will have a fine education at the local public school. She has not been denied an education, nor has she gained a red-letter LESBIAN CHILD tattoo on her forehead.
See my post above for the other practical problem her admittance would bring.
The Catholic Church teaches that homosexual acts are unnatural, sinful and evil, so a Catholic school is not a suitable place for the "daughter" of two avowed homosexual perverts to get her education. One must ask the question of why these two lesbians would want to bring their daughter to a school that they know will teach the child that her parents are "intrinsicly disordered", (sinful and perverted)? Don't they care about this girl's feelings? The whole thing stinks of a setup, with the poor little girl being used as the human bait. This reveals just how evil these two lesbian perverts are.
Public schools cater to the needs of homosexual perverts and their families, let them take this poor child there. If you feel badly for this child, as I do, you need to go to the origin of this child's problem, namely, her being raised by two perverted women who cannot by God's design bring forth a child as a result of their lesbian sexual activity. My heart breaks for this little girl that they use as bait.