Why do women get embarrassed from facial hair if God intelligently designed it that way?

[Atarah]

Cultural taboos. Facial hair is caused primarily by testosterone (although there are plenty of other factors). A woman with a lot of hair on her face has more testosterone than is generally deemed acceptable, even if her personality demonstrates much more traditionally feminine traits.

Of course, you could take Gimli's viewpoint toward female facial hair (skip to 45 seconds): http://www.youtube.com/watch?v=26i4OI5ZBs0