I recently flew from Logan airport in Boston and wanted to share the experience with anyone concerned about the process.
After putting my shoes, electronics, and bag in totes for x-ray I was directed to the body scanner. The operator motioned me into a giant phone booth and had me put my feet on yellow footprints on the floor and raise both hands over my head. As he prepared to exit I said "I'm transgender." and without slowing down he said "No problem, miss."

The door closed, the scanning bar passed in front of me and he waved me out the other side with "Have a nice trip, ma'am."

The way it was set up, there was sufficient privacy to discreetly inform only the machine operator of my status. I feel that the whole process was a non-event in comparison to some of the accounts I've seen. I'm only speaking for myself, the operator I encountered, and this one particular trip from Boston. YMMV.