Does the Evangelical Lutheran Synod permit same-sex marriage?

No, it does not. The Evangelical Lutheran Synod (ELS) is one of the most conservative Lutheran groups in the United States. It was founded in 1918 by several congregations of the Norwegian Lutheran Church of America who refused to be in fellowship with other congregations of the larger church body that permitted errant doctrine to be taught. This conservative breakaway group became the ELS. Due to its ultra-conservative nature, it almost goes without saying that it would not permit same-sex marriage.