I doubt it would come to old age... a tia would have challenged him by then. But if it's unexpected like a hunting accident, then the idea of a championship sounds likely to me. Actually probably more of a free-for-all melee than anything as organized as a championship...
If a tribe completely ran out of males? Sounds like an opportunity for a tia from another tribe to come in and become a nunh of his own without worrying about enough females following him.
Also: