Good lord the bullshit and ignorance on this thread is astonishing.
'No bad dogs...' - maybe not but plenty of dogs with HORRIBLE genetics that predispose them to anxiety, to aggressive behaviour, to total lack of self control, such that management is impossible and training futile.
'Give it to the police' - clue, the police need STEADY responsive dogs who will behave as asked off lead, 'out' when told to, not bite the wrong person, recall when required... and be absolutely bombproof. No part of what the OP describes about her dog, meets this requirement. The police absolutely would PTS.
'People recommending euthanasia are why rescues are full' - have you even HEARD yourself? Which rescues are full of euthanised, DEAD dogs, do tell me. Dead dogs are NOT a rescue issue, they are not clogging up rescues, they are not hard to rehome or using resources. You know what is clogging up rescues? Dogs that shouldn't fucking be there because absolutely no one has the skills or environment to meet their needs! People buying puppies on a whim from puppy farmers becuase 'no rescue will rehome to me so i HAD to buy one' then ditching the puppy as it hits adolescence and becomes a pain in the arse. Those are the two big reasons rescues are clogged up with dogs.
'Dogs do not experience things or rehab or recover like people' - actually, they REALLY do, with some differences - they can't talk to us and so we can't have a two way conversation explaining what we're doing and why and we can't hear in depth thoughts on how they feel, we can just take educated guesses from body language. But the basic mammalian brain is the same, the fear responses, the seeking urges, the emotional centre, is the same, and responds in the same way.
'Just shut her in another room and forbid anyone to open the door' - if I had a quid for every time someones done that and then been shocked that mum/dad/kid/grandma/MIL has opened the fucking door and the dogs barrelled out and bitten someone, I would be writing this from my tropical island with a cocktail in the other hand and my private jet in the hangar.
Management Fails. And in this situation, this management would be highly inappropriate as the dog would also be extremely distressed being shut away alone.
Some of us (the people giving sensible responses on the whole) are actually professionals in the dog world, we do this day in day out (I am actually working RIGHT NOW, handling questions from puppy owners), we do know what we're talking about!