Can You Be Gay and Muslim? Yes.

Note from GLAAD
Ross Murray, Director of News and Faith Initiatives at GLAADLike their Christian and Jewish counterparts, conservative Muslims commit scriptural violence by denying the humanity of a vulnerable minority. However, according to St. Augustine, since scripture teaches nothing but charity, it needs to be interpreted until a compassionate interpretation is found. In Judaism, Rabbi Harold Schulweis has stated that the Jewish law was not instituted to make life miserable but rather to introduce love and compassion. Likewise, in Islam, the 8th-century-female Sufi Rabia Basri rejected fear based obedience.
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Junaid Jahangir has worked with GLAAD and the organization Muslims for Progressive Values to advance LGBT equality within Islam.