OP again - the problem, I think, with not calling Hacky out directly is because organizers kept stating "mute your phones" every time she coughed and hacked. But she still didn't mute her line, which leads me to believe that she possibly thought she had already and didn't realize we could all hear every sniffle, sneeze, cough, and AHEM AHEM AHEM.
Or she was just so rude she didn't care.
I know I sound like I want a pass to be rude, but in this case, would it really be rude to call her out directly? Being indirect didn't work, and I ended up missing a lot of what the trainer was talking about because of it. And so did the other attendees who called in yesterday.