I used a 1875W hairdryer while we were plugged into 30amps. Wasn't a problem, although nothing else major was on.
However, the hairdryer was an afterthought to even be packed at all. I only brought it because the weather was very cold and I didn't want my DD or myself freezing while our hair 'air dried'.
I am a woman with the firm belief that camping means wearing hats and no make-up.
Therefore: the words 'camping' and 'curling iron' should never be used in the same sentence.
Buy your wife some nice baseball hats