Is it permissible for a Muslim to become angry when Allah’s sanctities are violated, and what are its lawful forms and limits, despite the Prophet’s (peace and blessings be upon him) prohibition of anger?

There is a praiseworthy anger for which its doer is rewarded, and that is anger when Allah's sacred limits are violated. The Prophet, peace and blessings be upon him, would not get angry for himself, but if something from Allah's prohibitions was violated, he would avenge for Allah Almighty. And abandoning the denunciation of evil, when capable of doing so, is a sin. Anger for the sake of Allah reduces evils, preserves Allah's boundaries, and saves one from divine punishments, because the spread of evil is due to the absence of those who enjoin good and forbid evil. Changing evil is obligatory and a collective duty (fard kifaya), and it is done by hand, tongue, and heart.