There is Sexual Discrimination in Hiring

But it's carried out by women against pretty women:

Attractive women who attach a photo to their CV are less likely to get an interview than their plainer rivals or those who do not send in a picture, research reveals today.

'Jealous' women in personnel departments who screen which jobseekers should be invited in are to blame for attractive women not getting interviews, says a new report. But in an example of the ‘double standards’ that the researchers said these staff employed, attractive men who attach a photograph are more likely to get an interview than plain ones.

It blames young, single and ‘jealous’ women in personnel departments who screen which jobseekers should be invited in.  Staff in personnel departments are overwhelmingly female, typically single and aged 29 on average, the researchers found.

Their report concludes: ‘The evidence points to female jealousy of attractive women in the workplace as a primary reason for their penalisation in recruitment.’ In a warning to pretty job-seeking women, it adds: ‘Attractive females are singled out for punishment.’

And they were prejudiced in favor of good looking men; go figure..

Yeah, I know, it's England, but I suspect women are much the same on either sides of the Atlantic.