Is it safe for a pregnant woman to go through a full body scanner at the airport?

Yes, it's safe. I went through the body scanners when I just conceived (less than 4 weeks) and another time when I was 9 weeks pregnant. My baby came out fine. It's a lot more convenient to walk through the scanners than to request for a full body search, though it's your choice, really. http://www.babycenter.com/404_is-it-safe-to-walk-through-airport-screening-machines-while_2616.bc