I'm sure that the law is crystal clear on this. That doesn't mean that an activist court can't rewrite the law, but this comes at the worst possible time for the Democrats.
They have time under the law to comply and name a new candidate. It defeats any argument to a court's equitable powers to rewrite the law because the current law doesn't work.
I'm not saying that the Democrats won't do everything they can to hold onto this seat. I'm sure they will. But this is going to be a tough one for them to pull out.