Homosexuality and Lesbianism have no place in Islam. This issue is clear from the primary source of Islam, The Holy Quran. No Muslim scholar, Imam, leader of a Muslim community or any Muslim can alter this injunction. A person committing such an act is in violation of God's Law and should seek repentence before God gives up on him or her. As the following verses tell us, it was the people of prophet Lot (peace be on him) who started this evil act and were severly punished by God.
We also (sent) Lut: he said to his people: "Do ye commit lewdness such as no people in creation (ever) committed before you? "For ye practice your lusts on men in preference to women: ye are indeed a people transgressing beyond bounds." And his people gave no answer but this: they said, "drive them out of your city: these are indeed men who want to be clean and pure!" But We saved him and his family, except his wife: she was of those who lagged behind. And We rained down on them a shower (of brimstone): then see what was the end of those who indulged in sin and crime! (The Holy Quran, 7:80-84)
There is One and only one God. The God of Abraham, Moses, Jesus and Muhammad (peace be on them). The One and only God is a living God. There is no beginning and no end for Him. He was living at the time of Lot and is living now. He is Just. There is no one more just than Him. He does not punish a nation for a crime and then forgive other nations for the same crime. If He does so, He will not be a Just God. Those religious or political leaders, regardless of what religion they profess (Judaism, Christianity, or what have you), who associate permission of these acts to divinity are utter liars.
Those who remain silent against evil and give a silent nod to evil acts are counted among them.
A person who commits a sin, should seek forgive from God, repent and never declare it as a righteous act and keep his or her sin hidden from others. Such a person will find God, the Most Forgiving and the most Merciful.
Let us all pray that God will spare us from His wrath. Let us pray that we will be among those to whom He has favored and not among those who have gone astray. Ameen.
Take the online mini course, Islam101 - Basic Beliefs It is all online, self-contained, get a certificate after completing the quizzes, but does require you to register. I hope you will enjoy taking it.
