Students do not have to "endorse TWU's evangelical religion to be admitted." Nowhere in the covenant is such a thing suggested.

TWU's covenant tells students about its guiding principles and where they come from. Students in turn are asked to sincerely consider and embrace TWU's perspective. They aren't required to become evangelical Christians and many students do not, just as I may sincerely embrace a LGBTQ person without becoming one. 

I have also refuted your claim that LGBTQ people are "cruelly" singled out by the covenant. They are not. The belief at the core of the conflict is that sexual intimacy is only acceptable within a heterosexual marriage. That belief affects all of TWU's unmarried students and faculty equally, regardless of their sexuality.