Random thoughts
It could have more to do with your middle bit of the sentence you uttered? "..or on that guys d.." It was probably just an off the cuff phase for you, but directed to the only lady in the group it could come off as you admitting you had feelings about her and now that you see her with another dude that you don't have a chance and are throwing a tantrum bc you can't be with her. That can seem like a betrayal of what she thought was truly just a really good friendship was instead you just scheming longterm to get with her. That's not just a loss of good friend, but also causes a questioning of every prior encounter.
Other options include her assuming you were shaming her for her choice in men (real or imagined), or that you essentially said you don't care about her regardless of what she does (right now or ever). It could also be her thinking this was your true self since you were so drunk, rather than this is the drunkest you've ever been and your grasping at any phrase to help the person understand your literal room spinning point of view. Not saying any of this is the answer as to why she ended the friendship. Simply giving a few alternatives to consider that might be more in the broken ceramic plate territory.
Great job on apologizing and giving space! Congrats on the sobriety!
Clearly they were increasing their public relations. /s