One common cause of a hoarse voice, that a vocalists gets after letting out their voice suddenly, loudly, and emotionally is unbalanced muscles relating directly to vocalization production.
The vocal cord is moved by other muscles, not by itself.
If these muscles lose balance, air will leak out while breathing. This air needs to be kept steady to hold a smooth consistant vocal sound.
If you can first understand which muscles are used to move the vocal fold, then you can find solution and keep control, which will correct the hoarse voice.
Note：The following figure shows an example of when the vocal cord misbalances and makes a hoarse voice. When one side of the vocal cord muscles is strained, the vocal mucosa either becomes dry or the mucosa of the vocal cords thickens.