The Belief in Angel (al-Malaikah) is the second pillar of faith in Islam.
Allah says: "The Messenger believe in what has been revealed to him from His Lord, and so do the believers. All believ in Allah, His angels and His messengers"
Sura Al-Baqarah (2:285)
It is obligatory, and in fact an essential part of faith to respect all of the angels. Therefore, it is unthinkable for Muslims to have any animosity towards any of the angels, let alone cursing them any such action is considered an act of disbelief.
Some Jews once came to the Prophet, sallallahu alayhe wa sallam and told him that they had five questions for him. If he could answer all the questions satisfactorily, they would be his followers. The prophet answered the first four to their satisfaction, and then they asked the final question; There is not any prophet except that he has an angel assigned to him as a companion who brings him news from Allah (SWT). "So tell us! who is your companion?"
The Prophet (SAW) replied, : "Jibrael (Angel Gabriel)Peace be on him"
They said, " that is the one who bring down war, fighting, and punishment our enemy. "If only you had said Mika'eel, who bring down mercy, rain, and vegetation it would have been that we follow you!,
Then Allah (SWT) revealed the the reply:"Say: Who is an enemy to Jibraeel? for it is he who has brought it (their Quran) down to your hear, by Allah's leave, confirming that which was before it, and as a guidance and a mercy to the believers. Whoever is an enemy to Allah, and to His angels, and to His Messengers, and [in particular to] Jibra'eel and Mika'eel, then let him know that Allah is an enemy to the disbelievers." Sura Al Baqarah, (2:97-98)
Related by Ahmad, Al-Tirmidhi, and Al-Nasa'e