Its all good. 

Well I'd imagine that now Archie needs to decide if he is going for dead or alive I guess. Either way he knows he has rose for backup, and likely with a quick explanation the Sheriff wouldn't be opposed to assisting (or at least not hindering) in the capture of a wanted outlaw.  

There are a few wild cards, but if all goes smoothly they shouldn't be a problem. 

Of course things never go smoothly, and who knows how an experienced, drunken and 'bloody maniac' will respond to such actions. But Archie may want to have a backup plan in case bullets start flying about the place.