Another Supervisor telling my Associates what to do

I walked into my shift and found my predecessor at SCO directing Cashiers and telling my Head Cashier what they need to be doing. No notice. No discussion ahead of time. Bear in mind my Head Cashier has only been on the job for a month.

She pulled me aside and proceeded to tell me there were a few things wrong with the department. When I disagreed, she said she had the department dialed in when she left. She stated the department was the gold standard for the district, implying that I've let the department backslide into a worse condition. My Head Cashier and another Cashier overheard the lecture and asked me what was going on. I felt pretty humiliated.

The next day, I pulled her aside and asked her not to do that again. That if she had feedback for my development, can she pull me aside somewhere private to give me that feedback. She called an ASM and had us all sit down in the office to finish the conversation. She got visibly annoyed and flipped the conversation. She said I needed to learn how to take constructive feedback better and made it seem like my behavior was the problem. I feel like she is gaslighting me.

Not once did she apologize for her behavior. I said that she hasn't acknowledged how she humiliated me in front of my team. She again flipped the script and said I shouldn't be feeding that kind of attitude into the team. Then she proceeded to steer the conversation away from the matter at hand and started airing grievances about how my past behavior made her feel.

To me, this is some toxic narcissistic behavior on her part. I think she crossed a professional boundary. I'm only four months into my role. For my own sanity, is "staying in your own lane" a thing at Home Depot as a Supervisor? Or can any Supervisor truly step in and start ordering someone else's Associates around? In every other work environment I've been in, this would be unacceptable.