Not a problem in the slightest. I can watch Band if Brothers for example and not be moan the lack of women characters that are prominent in their quest, why should I here.
Band of Brothers is about an army unit in the Second World War. The screaming inconsistency would have been if there had been any women. Had it been about wartime France as a whole, however, and but one woman played a pivotal role, you have to wonder about the blinkers the writer was wearing.
And that's where you completely miss the boat (and why I specifically used Band of Brothers as an example).
Of course (like you mentioned) if that story was a general telling of war time France, then women would have all sorts of roles. But its not its a story set with a combat force made of males (who only run into women a few times in their travels and none for any real significant exchanges).
But LOTR is also a war time story, but not a general one, one that is told of a band (ie fellowship) and not the general overall war time effort. IE the story only follows the members of the fellowship. Even in the Hobbit it's basically routed force going back into battle, one using subterfuge, instead of open war fare. All the cultures used are based on cultures that had a strict demarcation (at that time) of what roles women would have in society as a whole).
Just as in Band of Brothers int eh US, women's roles would not allow them in combat military. Women had very set roles in the military.
I mean the fact that Tolkien even included one women who went against the rules of society in getting into combat, shows greater latitude then the military of World War I or II.
So the fact that you have no problems with Band of Brothers yet do with LOTR and the Hobbit really seems rather odd and inconsistent.