Can we bar a disruptive member from our business meeting?

Our home group barred a member from our business meeting for sixth months. They haven’t threatened anyone or tried to hurt anyone physically. They are just antagonistic and argumentative about everything. And of course they creep on the newcomer. But we’re all so tired many of us are ready to quit the group just to not deal with this one member, and I’m the GSR. So we called an emergency meeting to bar them from our business meeting s for sixth months. And we were just done with the whole subject. Of course the disruptive member is going to file a grievance with area. And I’m honestly not sure what our Area will do, but it appears a first step will be to take our meetings off the schedule. Are we in the wrong? I intend to appeal and take the information back to my group. But we are done talking about it spiritually, we are just drained by all of it.