Not sure about women having less glutathione than men.
Here is a piece on women with higher glutathione levels from 60-103 years of age being in better physical and mental condition.
http://www.ncbi.nlm.nih.gov/pubmed/12486409
I know it wasn't your question, but I would be curious to know the answer as well. Having supplemented it for a while now, I understand the importance, but some insight into the importance for men vs women would be interesting at very least.