Hens are at their noisiest during the time of day they are engaged in the process of laying eggs. The rest of the time, they are generally quiet and well behaved. Roosters will add to the cacophony as they answer the hens' chorus which surrounds the egg laying period. There is absolutely no way to avoid this.
You haven't said whether you want your broody to sit and hatch fertilized eggs. If you do not wish this, you can do nothing, allowing her hormones to run their natural course which takes three weeks at the very minimum. Or you can quench the hormones in about three days by incarcerating the hen in a broody-breaking cage as KikisGirls recommends. The choice is up to you.