Sorry in advance if this gets long.
I've been working in a public sector office (finance) for ten years now and always enjoyed my work and got on well with my team. We are a smallish group of around twelve people split into three teams, in a bigger department. We're busy and there can be a lot of pressure to get things done and take more work on, particularly at the moment, and work has been quite stressful generally during the pandemic as it has for a lot of people. We are working from home at the moment which doesn't help things either.
Anyway, the management in our group was reorganised last year and an extra layer of management put in. Our team is now working for someone who has been rapidly promoted several grades for this position and has no people management experience. One of my colleagues has already left because of the very intrusive management style, constant criticism and looking for faults, and two more people are off long term sick. I am really struggling myself with it and I think a lot of her behaviour would count as bullying. I've been given a lot more extra work with silly deadlines, and have had reports written to the director about a minor error I made when I took over some work from a person who left and relied on their data. I've raised this with my line manager but he doesn't want to rock the boat, especially as the bully is also his manager and is very close to the overall departmental director. Other people in the department are aware of what's going on but no-one wants to take her on because of her personality, seniority and allies at high level.
This is making me ill, physically and mentally. I'm struggling to sleep and eat, can't concentrate, have an almost permanent headache and stomach problems and am just feeling permanently on edge and anxious. I can't see how to deal with this through the "proper" channels as despite what we say, our place isn't great with stuff like this and everyone I've known over the years who has brought a grievance has ended up leaving themselves.
My thought is to go and talk to our director in confidence, and ask him if I could move to someone else's team. The reason I'm hesitating is that if he says no and then tells this other person, then I feel it would just make the situation worse. I'm not sure how much I can trust him given his close relationship with the other manager. AIBU? WWYD?