Dos she often refer to herself in the third person? If so, you might've dodged a bullet.

Your girlfriend needs to work on timing. That wasn't a very good time to bring up a topic that seems to have been controversial between you two. On the bright side, at least now you can sleep on the couch.

She needs to talk, but after a 16hr shift, does she think you can properly listen?

Maybe she should have gone to sleep on the couch instead. She sounds somewhat selfish.

i would have asked her to wait until after i was done sleeping (or resting), then i would listen to her hearts content. or, i would suck it up and listen anyway, telling her that i may not be in top form, due to the long shift.

Drink that caffeine

I'd say ignore her and get some well-deserved sleep. Tell her you'll see her tomorrow.

Those are words no one wants to hear from their significant other.

She deserves a punch in the boobs

I've never understood the making someone sleep on the couch shenanigans. I was always told never go to bed angry, but I have never been made, nor ever made my other sleep elsewhere, if they didn't want to. Being emotionally upset and irritable is no excuse to cast someone out. Plus, most of the times one lays down instead of leaving, even if you lay in the quiet and give each other the silent treatment, by morning, there's a higher chance you'll have spoken about it or cooled off. Better still, You make-up by realizing despite being mad, or your wounded pride, you still love the insufferable twit. Even while you glare daggers at their back, before long you end up cuddling and muttering apologies to each other. These are of course best case scenarios, I just don't see the reasoning for either party pulling such a tactic unless there's aggression or violence. TL;DR: Your GF and you need to work on communication. Goodluck!