I need some advice on how to handle this talk I am having with my (ex) gf.
Last weekend, I got drunk (I ended up blacking out) with my gf and I basically yelled at her for small issues that have been bothering me. I ended up calling her a bitch, slut, etc. a lot of time thrown in with the yelling and ended up leaving her at the club alone. The next day she told me that what I did was unacceptable and that she doesn't have time for me anymore after treating her like that. She told me that I have a drinking issue, which is completely wrong. I just got too drunk and kept drinking because I was angry.

I realize my behavior unacceptable but I don't think my opinions on the issue were wrong. Anyways, I planned on giving her space, but after 2 days not talking she texted me asking how I was doing and I asked her to meet up. She said "maybe thursday" then thursday came and she didnt text/call. I waited 2 more days and called her and she agreed to talk this week about what happened. I'm not really sure how to convince her that I think she shouldn't have a zero tolerance for how I acted. I don't see how a girl can literally turn off her emotions and say she never can date you after one night. It wasn't like we were having problems prior to this night either which is the weird thing.

How long have you been dating? If only a couple months, then she may have used your poor behaviour as an excuse to bail out of the relationship to conceal the real reason (perhaps loss of attraction, commitment issues, or just a serial dater). Either way, calling her slut and yelling at her is in fact completely unacceptable. If you are angry at her for minor issues, there is a way to communicate those feelings while staying respectful.

Now obviously the omen is on you to repair things. You should obviously apologize to begin with. If you don't think you have a drinking problem, you can rationalize with her that the last time you blacked out was X years ago (assuming this is a very rare occurrence) and explain how next time you're ready to communicate more appropriately without abusing alcohol out of anger. Perhaps there's an additional step or two you want to take to show her you're willing to fix things. But don't give her TOO much as you still want to remain in control and not appear desperate/beta. It's up to you to exercise judgement and strike the right balance. If she still refuses to forgive you, or to be with you after your speech and suggestions, then you have to be ready to walk away and wish her the best.

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Before she can respect you, you need to respect yourself.