It's a familiar scenario. Cockerels are raised with the flock. When a cockerel matures to the point that he tries to take over as flock master, the head hen objects. They fight. Every year I have a new flock master, a cockerel raised in the flock. Most of the time the handover of flock master from the head hen to that maturing cockerel is pretty peaceful but every 6 to 8 years I see this scenario. He head hen refuses to give up her position so they fight.
Sometimes the cockerel is able to subdue the hen. It may take a day or two of fighting and violence but they work it out. Sometimes the cockerel drives the hen out of the flock, never to let her back in. He may even kill her. Sometimes the hen is absolutely brutal to the cockerel but as long as he survives he will almost certainly eventually win.
Not sure what the best course of action here is. Does the rooster go or the hen?
What do you want to happen? What are your goals concerning having males? I can suggest different courses of action but I cannot guarantee you any specific results.
Get rid of that cockerel. You can eat him, sell him, or give him away. As you can see, that is the immediate reaction of many people on this forum. You can also get rid if the second immature cockerel now if you wish but you do not yet know what will happen when he matures.
You can let them fight it out. It may be a fight to the death or they may work it out. If she is injured the rest of the flock may turn cannibal on her and attack her. Debbie had some good suggestions.
When the second cockerel matures he may fight with the flock master to determine who is the boss, whether it is the head hen or the other cockerel. Sometimes that is a fight to the death, sometimes it is really peaceful and they work out their standing with little, if any, violence.
You could get rid of that head hen and see how the rest of the flock reacts without her, including the other females and the two cockerels.
You can isolate either the one cockerel (or both) or isolate the head hen for a while and see what happens when you put them back together.
My goals and desires do not matter to you, only yours matter. If you can tell us what you want to happen, what facilities you have to work with, and the make-up of your flock maybe we can give better more detailed suggestions on how to try to achieve that. With living animals you don't get guarantees on behaviors but sometimes we can influence them.
Good luck!