Women Respond Favorably to Dominant Alpha Males and Reject Those That Are Supplicative Betas - by Tollan

From Ladder Wiki

The majority of women, even those who appear hardnosed and dominant in their lives (i.e., judges, attorneys, business executives) still long for a dominant man who can make them feel "girly" (for want of a better term). If you notice women tend to manifest this in the presence of alpha males, that is they usually become quite submissive towards the male, but conversely they are extremely caustic and quite insulting to beta males because to them these males aren't worthy of respect nor their submissiveness. You'll often see this phenomenon when women will mercilessly mock guys who don't measure up to their standards of what a fit male should be (i.e., the stereotypical IW/Beta male).

But, it should also be understood that even with alpha males the woman will continually test him to see if she can dominate him or if he still retains control and keeps her subordinate to him. So even if the relationship appears to be one where the alpha male dominates the woman will continually check to see if the guy is still "fit" enough for her and if she should still be with him. So yes women can be "push overs" but you have to be dominant enough to get away with it or their self-esteem must be low enough to allow for it.