As a Christian, you may already know that adultery is one of the few, if not the only, reasons that would allow you to divorce. A hint of that can be found in Matthew 19:9. There must be a very good reason why God allows a divorce in cases of adultery but nothing else (at least in light of this verse).
Your relationship with her will never be the same, as many people have said here. This is because the past can't be erased. You could forgive her and decide to try again but it will never be the same relationship, but a new one, a forever tainted one.
From what I've read over the years, it seems that in many cases reconciliation doesn't work well, yet sometimes it does even though, again, it's not the same relationship that it used to be.
I can't tell you what to do, that's your decision to make. But at least I'd like you to ask yourself... do you really want to spend the rest of your life with not only a cheater, but a liar?
I'd be much more at ease with it if she came clean straight away but she didn't, she lied to you until caught and then kept lying until you pressured her enough. Do you really think that will never happen again, based on all the things she said and how she handled the whole situation?
I personally, wouldn't even think of reconciliation in this case. Another reason for what I just said, is that, at least from how you wrote it, you were the first to tell her what you wanted her to do if reconciliation was an option, it wasn't her (correct me if I'm wrong but your writing suggests that). She couldn't even give you an answer right then when you asked her a very simple and straight question. Yes, she was in the fog so there's that, but still... there was a long time for her to think of what she was doing, it wasn't just one single drunken episode.
I wish you the best as someone who has been there as a BS, I hope you'll make the right and best decision for yourself. God bless.
