His writing contains those beliefs. In Ender's Game he explicitly says women are unsuited for command, and the girl was an anomaly. The Bean series is just rampant Islamophobia. And I think in the end the super soldier woman (girl from Ender's Game) ended up just wanting to pop out babies. Which is a fine goal to have in life, but with the context clues of Card I think we can take a pretty solid guess that's all he thinks women are good for.