Will Allah hold a person accountable for what emanates from them during a state of anger, such as screaming that violates Sharia, even with repeated repentance?

If the words you utter when angry constitute a sin, and your anger does not reach the stage of losing control (ighlaq), then you are sinning, and repentance is incumbent upon you. However, if your anger reaches the point of losing control (ighlaq) to the extent that you are not aware of what you are saying, then there is no sin upon you, Allah willing. You should avoid the causes of anger, adorn yourself with forbearance, suppress rage, and seek refuge in Allah from Satan.