Men, for the most part, are better at it. As a quick example, I think the highest run in straight pool by a woman is in the lower 100s and the highest for a male is in the 300s (maybe more). There are professional "open" tournaments that women can and do participate in, but they usually don't finish too well. I think Jeanette Lee and Alison Fisher have done well in some tournaments, but I don't think they've ever won any major ones.
And really, after Alison Fisher, Karen Corr, and Jeanette Lee, the competition really drops off in the women's WPBA and I don't think any of them could really compete on the mens side. But regardless, those women in the WPBA do pretty well in terms of money and sponsorships in their own setting and I don't really see a reason for them to jump over and compete in other leagues.