If you haven’t been asked at the application to declare anything I wouldn’t worry too much (this is what I was referring to in my last post). As far as I’m aware for the benefit of references, employers aren’t allowed to simply mention such things generally? (Unless you’re going to another job which requires it specifically such as the Police etc.) References are usually very basic in terms of detail. For the benefit of references, the prospective employer usually supplies a very basic tick sheet. It obviously differs from vetting procedures etc, where the whole aim is to dig very deep, naturally unearthing some of these things.
At the end of the day, as
@GB has said, if you don’t progress your application you definitely won’t get the job. There’s hope however if you do continue. I understand it’ll be frustrating if this does bite you later on in the process, but surely it’s a risk worth taking? The fact that you have not been suspended, or presumably been placed on restrictive duties? Suggests this isn’t a massively serious matter. If you haven’t been asked to disclose this stuff, I advise against it.