1) Take the constructive criticism and use it. That's the most important, most objectively actionable, part of this whole thing.
2) Your management structure is broken. You can fix it or leave, but you should definitely do one of the two. If you want to fix it, it seems like you should be talking to your manager. She is either not giving you feedback that you should be getting, or you should completely ignore the boss, but which of those two is the case needs to be cleared up. If it is the former, you're probably being managed by someone that isn't comfortable being a manager yet, and you can help her by asking for feedback while being super transparent about the work you're doing. If it's the latter, then just ignore away.
2) Your management structure is broken. You can fix it or leave, but you should definitely do one of the two. If you want to fix it, it seems like you should be talking to your manager. She is either not giving you feedback that you should be getting, or you should completely ignore the boss, but which of those two is the case needs to be cleared up. If it is the former, you're probably being managed by someone that isn't comfortable being a manager yet, and you can help her by asking for feedback while being super transparent about the work you're doing. If it's the latter, then just ignore away.