Freedom of Religion, plain and simple.
The “gay” woman had no right to expect a truly Christian organization “had” to employ her in their religious based organization, if she wanted to “identify as gay”. She is free to go teach somewhere else.
Preferably at a Marxist university.
These homosexuals always feign “shock” when the perfectly obvious comes to light. In other words, they knew that what they are doing will go against the grain but do it anyway to garner sympathy for the agenda.