As some people know, an attorney cannot use a peremptory challenge to remove a juror because of the juror's race or gender. To do otherwise would be a violation of Batson and its progeny. At least two states (California and Oregon) have extended Batson through legislation to cover a juror's sexual orientation. Minnesota may soon follow suit if state Senator Scott Dibble has his way. He recently introduced SF 1777 (Jury service exclusion due to marital status or sexual orientation) in the Minnesota state senate. The bill prohibits excluding anyone from jury service because of their sexual orientation and marital status. At present, Minnesota law currently bars discrimination in jury selection based on race, color, religion, sex, national origin, economic status, or a physical or sensory disability.
For more background on this topic see the articles below.
Huffington Post: Discrimination Against LGBT Jurors Remains Legal
Union Tribune: Judge slams prosecutors for dismissing gay juror