Yes, women tend to be more spiritual than men because we have our monthly cycles, and we best children. We are more intimately connected to the divine. See this article, for instance regarding how Judaism views women: “Women are more soulful than men. While men may excel in physical prowess, women are far ahead when it comes to spiritual strength. Women are more sensitive to matters of the soul, more receptive to ideas of faith, more drawn to the divine than men. The feminine soul has an openness to the abstract and a grasp of the intangible that a male soul can only yearn for. This is why G‑d told Abraham, the first Jewish man, "Whatever Sarah your wife tells you, listen to herMen have stronger bodies, women have stronger souls voice." She was the greater prophet, her soul more intuitive than his.” From

https://www.chabad.org/library/article_cdo/aid/2576222/jewish/The-Gender-Gap.htm

This article in Psychology Today also shows that universally, in cultures across the world, women tend to be more religious than men. The author acknowledges and explores reasons that this may be the case besides innate spirituality. The reasons also support that women tend to be disempowered and considered second-class citizens as compared to men: all the more reason for men to show women respect, courtesy, and appreciation.

https://www.psychologytoday.com/us/blog/the-secular-life/201409/why-are-women-more-religious-men