When this play was originally done on Braodway the female lead (broadway legend Patti Lapone) was in fact actually naked (but covered by a long wig). The other way the show has been done in professional productions has been to have the actress nude, but behind strategically placed props a la Austin Powers. Bodysuits are used more often in amateur productions. So I would say the director is not necessarily out of line, depending on how he is staging it.
Show your friend this, it may make her feel better
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