In a way, I think that was an awful thought to have. Even though it says in research that women are critical and judgemental, I would like to see what background this comes from. Some people are just judgemental because of how they were brought up or no one showed them how to be more open minded. Who knows. Some people might need encouragement to support but it always takes a fine teacher to lead the way.
In the kind of world that we have, it is better to start planting a positive seed, feed it and watch it grow and bloom or not bloom, rather than plant it and then talk it down without the feeding of chances at success.

I think that is most likely what this person you were talking to was actually doing. Why wouldnt it be ok to have a show that catered to women? There are shows that cater to men and good for them! They have something that they feel is good for them.

Before I continue on, making a colossal of a comment here, the first thing that is needed is respect for each other and let things be, rather than fishing to crush and destroy whether it is intentional or not. Negative feedback in this manner shouldn't be welcomed and that's when things should push through harder.
We are who we are and if there is a radio show that caters to women and some women that go there in a state of closed mindedness, then perhaps there is something that they hear that will change their minds even just a little and make their lives that much better. You never know, and that is why it is worth it!
Men can be just the same. It is proven in that statement above in your post....