I love the way your making this all about strength when the real reason lies far more in the social norms of the time. In most cultures women we're not not encouraged/allowed to fight due to the patriarchal societies in which they lived. This does not mean that women couldn't fight, yes they may not have been as physically strong as men, but anyone that knows anything about ancient history knows that tactics, strategy and discipline we're far more instrumental in warfare than sheer strength.