I suggest Googling women's fiction and possibly chick lit to get a better idea of what these genres are. I started to post definitions and then decided you should probably research this anyway.
I think the question you're really asking is whether men will read a book with more female POVs than male. This question would be aimed at groups, not at what individual men might do. I couldn't find a definitive answer--something like a study--only anecdotal stuff to suggest that in general, men prefer male protags.
The only stuff I could find on gender split in post-apocalyptic merely stated that the SF market is 48% female, a nearly useless stat since sci-fi includes sci-fi romance, space opera, dystopia, and military SF as well.
So if your book is more aimed at a male audience, due to content (and this is not something I can intelligently comment on), having female protags may limit your audience.
OTOH, women read more fiction overall than men do.
I wouldn't try to market a straight spy thriller written from a woman's POV. Most women who write thrillers adopt male or gender-neutral pen names. Romance writers generally write from female POVs and use feminine pen names.
But for stuff that seems to have no clear imbalance of male-to-female readers, you're pretty much in what I think of as that screwed place until you start publishing. You can guess, but you never really know how it will work out for you. I never thought my readership would be overwhelmingly female. My published work doesn't have particularly feminine themes. I write a lot of mythical creatures, and I do a lot of historical settings. But my email list is about 95% female.
Is it because I have an openly female pen name? Possibly. I'm not about to start another career as C Townsend to find out. It meant a lot to me that Connie Willis, Patricia McKillip, Robin McKinley, and Diana Wynne Jones all wrote openly as women. I never considered doing otherwise.
Is my readership mostly women because I sometimes write female protags? Possibly.
Or is it because my reader magnet for joining my email list has a kelpie (the mythical creature, not the dog) on the cover? To sum up marketing wisdom overheard in a Starbucks--men like motorcycles and women like horses. And I've got something horse-ish on the cover of the book I'm currently giving away to sign up for my list. So is this the reason why? Possibly.
Or maybe my writer's voice is just more in sync with women's thoughts because I am one.
Do you see the problem here? There are just too many variables, IMO. About all you can really do before you have an audience is try to avoid an obvious mismatch, which is what I think you're attempting to do here.
Unfortunately, I think the answer is it all depends on how you write.
The good news is that it's possible to make a decent living with either a largely male or largely female audience.
I hope something in all that was helpful.
