The law will not, however, require states to issue marriage licenses contrary to state laws.

That legislation ensures the federal government recognizes it and requires states to recognize marriages from other states. It does not prevent a state from banning it within that state. (Really shitty that NBC doesn’t link to the actual text so people can read it themselves)

If you read the article it does not mean states will have to issue licenses to same sex couples in their own state, just, from my understanding, honor ones issued in states where it is legal (which while Obergefell stands is all of them). It is also important to note that the Supreme Court had the power to overturn legislation if it deems it unconditional, so, while it would be hard for them to outright overturn this bill using the constitution, since a state cannot hold religious preference due to seperation of church and state, it cannot be ruled out entirely. I feel it is likely they rule in favor of an individual, such as a county clerk, not having to issue a marriage license if it "goes against their religious beliefs", which could basically mean a ban for large areas of some states with highly religious conservatives.