I had a model on my second monitor while I was gaming on my other and when I looked over because I noticed the screen kicked me back to the homepage, I saw the model had banned me. I hadn’t even interacted with the room at all so is there any way to report a model for banning for no reason or do they have complete tyranny over their rooms?

Unfortunately it’s the models discretion who they have in their room, if you’re just sat in the room with no interaction some models will kick people.

There could be a chance that a model had clicked on your username & kicked by mistake, but going by what you’ve stated it sounds more likely they have gone through the user list & kicked a number of people.

You cannot report a model for this as they are ultimately in charge of their own room & who can be there. If you don’t interact you can get kicked.