Well of course it depends on your union contract (if you have one) and the labour laws in your state. But it's worth looking into.
Many years ago, during a labour dispute, my coworker and I programmed some pro-union slogans into the nursing station computer screensavers. The powers-that-be apparently went ballistic. We both got a phone call at home telling us we were on administrative leave until further notice.
We contacted our union attorney and were told we were suspected of dumping files from the hospital computer system. Of course we had no idea how to even do this, and there would have been no purpose served by doing it. It was bogus and in retaliation for our being vocal about the labour dispute.
We heard nothing for five weeks, then were called to a tribunal. The tribunal was laughable, but at least I got to look my manager in the eye and tell him that I did not dump any computer files. (Of course I copped to the screensaver; I had actually done that.)
We were paid for every nanosecond we were on admin leave. The shifts I had scheduled as charge, I received charge pay. The overtime shifts I had agreed to, I got paid overtime. When we finally ratified our contract and received retro pay, it included the five weeks of admin leave.
Yes you told Rita you weren't willing to work until your concerns were addressed. But your concerns were based on safety and already codified in policy. Rita got the last word in telling you not to report for work. In my book, the turd's in her pocket and you should be getting paid.
At least look into it.