Physical Danger
You may be positioned in awkward positions for long periods of time while applying makeup or hairpieces, so expect some strain on your neck and back. However, if you live in Hollywood, you probably do plenty of yoga anyway, so this shouldn't be a huge concern.
You may also be carrying a wig down a hallway, trip and fall, land on and swallow the wig, and suffocate. You really shouldn't worry much about this one though, as the odds of it happening are only around one in twenty.