Psh, spouses, once they've been together a while, usually don't even need direction.
It's a partnership. A well oiled machine, at least it should be. And yes, they learn to defer to each other on certain matters.
There should be no "head" of the relationship overall, but each become a leader the other may defer to in certain situations or subjects. If the woman is better at managing the finances, the management of the money and bills may be her thing and the husband defer to her in financial matters. If the man is better at time management or housekeeping or social matters, then she may defer to his lead in those matters. Each spouse has their strong suits and, once they know what those are, they should defer to the one stronger in those matters. If this is done, then things go much better for the couple.