As I understand, God forbade Muslims from becoming angry at one another. So, can Allah become angry at a Muslim, even if the anger is not directed at but for the Muslim's situation? Shouldn't feeling anger only be an instinct from human nature that we try to overcome, and should not be a nature of God, as he determines our fate after death?
Our philosophies for what God should or should not be are irrelevant. God does get angry. It says so in Qur'an:
غَيْرِ الْمَغْضُوبِ عَلَيْهِمْ - not of those who have evoked Your anger وَغَضِبَ اللَّـهُ عَلَيْهِ - Allah has become angry with him
His anger like all His other attributes is not like human anger.
لَيْسَ كَمِثْلِهِ شَيْءٌ - There is nothing like unto Him
This is stated in Al-Aqeedah Al-Tahawiyyah.
Allah becomes angered and becomes pleased, yet not like anyone else besides Him.
No. G-d does not become angry when you sin. In fact, G-d does not have emotions. G-d is transcendental.
In his commentary on Aristotle’s Ethics, Arab philosopher Abu Nasr al-Farabi wrote that the notion of life after death is plainly wrong: “senseless ravings and old wives’ tales.” Similarly, the highly respected Arab philosopher Averroes criticizes his predecessor, the philosopher Avicenna who felt that G-d is involved in mundane affairs. He disparages Avicenna for abandoning true philosophy and capitulating to the theology of the uneducated masses. Averroes, a contemporary of Maimonides, understands Aristotle to be saying that the world operates in a natural manner. Averroes, like Maimonides, understood that the world functions according to the laws of nature. Averroes and Maimonides were born in the same city, months apart, and although they never met, they would agree with their G-d concept.