Backstory- I work in a very small customer service team for a small company. We only have 3 offices with customer service teams of 5-6 people in each. My manager quit earlier in the year and whilst they've been looking for a new manager, a manager from another office has been acting as our manager.
A colleague who'd worked there over 7 years quit (without another job lined up) due to how this manager kept speaking down to her. This manager has made 3 staff members cry now, including myself and when she was told she'd upset colleagues she said we are too sensitive and didn't even bother to apologise. She discusses my performance with colleagues and their performances with me which is highly unprofessional. She's continuously making false accusations and regularly will question every single thing we do. She accused us last week of deleting emails without dealing with them - which was false and I called her out on that to which she responded to me with 'there was one from June in your inbox deleted'. I did deal with this email (I checked) but the fact she has time to constantly go fishing through our sent emails trying to find mistakes from MONTHS ago is getting to us all as we are all great at our jobs and yet being investigated with no cause.
My job role is 50% emails 50% phone calls and she called me yesterday and said that it had been brought to her attention that me and another colleague were not answering calls as much as our other colleagues. I said this cannot be accurate. She said 'so you're saying the report in front of me is lying', I said it cannot be accurate can I please have a copy. She said she wouldn't give me and copy and then started shouting at me saying how dare I question her etc. Within 10 minutes she sent an email saying what she said was inaccurate she misread the report.
It's just all too much. Constantly being flagged daily for things she thinks are mistakes and turn out to not be is draining. The way she speaks down to people is disgusting. Everyone in my team are currently looking for jobs but I just feel like she shouldn't be able to get away with speaking to people so poorly that they're brought to tears.
Would I be unreasonable to make a complaint about her toxic behaviour or just leave it and let her get away with it.