"Outer darkness" is Mormon-lingo for what many people might call "hell" -- the place really bad (really, really bad) people go (eventually) after death.
In Mormon theology, however, outer darkness won't have very many people in it, however. Most people, even "bad" people (like democrats, for instance) will go to some "degree" of heaven.
MormonMovieMan: Wow. Your eagerness to show off your religion has also demonstrated some of the bigotry that is inherent in it. Democrats are bad people? Really? Wow again. Lumping hugely diverse groups of individuals into categories that couldn't possibly describe all of them is one a classic go-to method of bigots. If there is a hell, it is almost certainly reserved for people who start churches and then use the religion as a way to get people to invest in Ponzi schemes like the Kirtland anti-banking society, then use their influence as religious leaders to force married women and teenage girls into their beds. It would also be reserved for people who preach violence and hatred against those who don't believe, even going so far as ordering the deaths of people who try to leave. If you don't know what I'm talking about, you don't know your religion very well. I think there may be room in there for bigots as well - you know, the people who condemn others to hell for belonging to a political party that tries ensure that the poor and the needy are cared for (like Jesus commanded).
If you need sources for the above info, try this for an LDS publication that confirms that Mormon church founder, Joseph Smith, married women who had faithful husbands and teenage girls as young as 14 - http://publications.maxwellinstitute.byu.edu/fullscreen/?pub=1447&index=6, and consult the first hand accounts of Brigham Young's friends (Mormonism Unveiled by John D. Lee), associates (Tell It All by Fanny Stenhouse, Brigham's Destroying Angel by Wild Bill Hickman), and even one of his wives (Wife No. 19 by Ann Eliza Young). You can also read all about his encouraging people to murder those who apostatize in the Journal of Discourses.
Outer Darkness These are they who had testimonies of Jesus through the Holy Ghost and knew the power of the Lord but allowed Satan to overcome them. They denied the truth and defied the power of the Lord. There is no forgiveness for them, for they denied the Holy Spirit after having received it. They will not have a kingdom of glory. They will live in eternal darkness, torment, and misery with Satan and his angels forever. (See D&C 76:28-35, 44-48.)
LDS believe that most of the inhabitants of Outer Darkness are the 1/3 of Heaven who chose to follow Satan instead of Jesus. That 1/3 was never allowed an existence on Earth. Not very many people who existed on Earth will go to Outer Darkness. Even Hitler is probably not going there.
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MormonMovieMan didn't exactly give you the facts. The people who go to Outer Darkness are the ones who deny their belief in Mormonism. Some of the church leaders have said that this means only people who have seen God and deny he exists (or those who fight against him knowing he exists, as was done by Satan and his followers before the Earth was created) and others (like Brigham Young) have taught openly that this means anyone who leaves Mormonism. Young went so far as to teach that the only redemption for one who has committed such an act is to have his/her blood spilled on the ground. It's a control method of keeping people in the church. So long as you stay in and live a life of sin, you can still reach a heaven, but if you leave, you go to hell. So, depending on who you listen to, many very good people are going to Outer Darkness because they couldn't follow Mormonism anymore after discovering some of its dirty secrets, like the fact the founder forced married women and 14 year old girls to marry him while, as was noted by Jussa79, Hitler gets into the the Telestial Kingdom which is supposed to be so nice that if you saw it, you would kill yourself to get there.
Given the fact that polygamists follow Brigham Young and not the leaders that tried to soften the doctrine, Barb's concern is that if she denies polygamy and thereby her religion, she will spend all of eternity in a lonely state of self torture.
It turns into a double edge sword because if the preacher says that anyone can go to heaven, just so that you won't sound cruel, then there is no reason for me to become mormon. If the preacher says that only mormons can go to heaven, then that makes me think the preacher is trying to increase membership in his religion and is full of it.
"Barb's concern is that if she denies polygamy and thereby her religion, she will spend all of eternity in a lonely state of self torture."
That's what makes the show great. The mormon lingo, the religious logic and fear of hell.