"Parents seeking to adopt children in Texas could soon be rejected by public or private agencies with religious objections to them being Jewish, Muslim, gay, single, or interfaith couples."

In the USA, if it CAN be done, it WILL be done.

We can safely rewrite the paragraph:

"Parents seeking to adopt children in Texas will soon be rejected by public or private agencies with religious objections to them being Jewish, Muslim, gay, single, or interfaith couples."