Asking this as 'menosphere' social media types seem really obsessed with this idea that all women are looking for a man who will 'protect' them. Which never even occurred to me and I can't imagine has been a factor for any woman I know.
I wonder if to some extent it is more an American cultural thing, but even there it's probably bollocks and it's a projection of insecure men trying to find some reason women 'need' them? Like 'I'm stronger, so only I can protect her!', although that's messed up because it would mostly mean... protecting her from other men. And of course, the greatest danger to women is probably intimate male partners in the first place.
I can imagine a situation, perhaps where a woman has been hurt by a man she should have trusted as a child, where she may consciously look for a man she feels protects her when that man in her earlier life didn't, but I don't think women are even thinking about how much a guy can 'protect' her when looking for a life partner.