The WORD says to obey the government.
Well...A couple of things about this...
1.
I was reading a few news articles, and please correct me if I'm wrong, but the vaccine mandate is for businesses, not individual citizens. It would seem the administration knows that to mandate citizens get shots of an experimental vaccine would infringe on their civil liberties and so they're skirting around it by forcing businesses of 100 employees or more to require them for employment else the business will be fined.
The government hasn't mandated the citizen get vaccinated but strongly encourages it. Now they're trying to force a situation where citizens make the choice or suffer financially. That means getting vaccinated (or not) isn't a matter of obeying the government.
2.
There are two Greek words of interest:
a) hupo-tasso - “submit” or “be subject;" lit. "to arrange stuff respectfully in an
orderly manner underneath".
b) hupo-kouo - "obey" (as with a parent & child; master & servant).
Both words are used in scripture, but the word used in Romans 13 with regard to government is hupo-tasso. So Paul is instructing to be orderly and proper subjects
under governing authorities, i.e. do not be an insurrectionist. Do not be a rabble-rouser like Barabas and storm the capit.. (...wait....
), but be an honorable citizen wherever you live. This doesn't mean one can't personally protest decisions of government...it means to do everything in decency and in order under your government as an upstanding citizen.
Daniel protested the king's decree (because it would've forced him to dishonor the Almighty) and so submitted to the king's consequences
peacefully. He did not cause an uprising to try to topple the king but was at all times a stellar subject even in protest and under punishment. This is the character and nature Paul is instructing believers to have.