For a start women react more emotionally than do men. And it's here where the meme of The Boy On The Beach proved to be so powerful. A brilliantly-staged piece of propaganda, it reinforced the ongoing pictorial representation of the migrants as hapless women and children (notwithstanding that most of the invaders are aggressive young men). Women also have narrower spheres of interest and shorter conceptual time frames. So they'll subconsciously assess the invasion on what they perceive to be its more immediate impact on their own family and social circle, neglecting the broader and longer-term societal impact. This becomes more understandable given that men have largely determined the course of human history (exploration, warfare, scientific advancement etc.) while women acted as nurturers and home makers. You don't easily gainsay 10,000 years of evolution.
Some unique pathologies of today's Western world also exacerbate the problem. For instance White women have been conditioned to 'liberate' themselves from their evil patriarchal menfolk and demonstrate it by having few if any children. This has resulted in a huge cohort of older middle-class women with neither husbands nor children. The distressed and helpless migrants can then serve as surrogates for otherwise stunted emotional outlets. And of course they also win a valuable virtue signalling resource, secure in the knowledge that Khaled the camel humper won't be moving into their gated communities. Not yet anyway.
I wonder should we rescind their right to vote?