I'm glad you found this, and try not to beat yourself up about the aspiration.
I hope she clears the fluid soon.

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How is your girl? Did the gurgling clear?THIS is exactly the information I have been trying to find!! I've been giving my chickens periodic liquids over the years and, as careful as I am, I inevitably miss sometimes. Breaks my heart when I do that and always freaks me out.
For years I've been wondering exactly what was meant by "the left side". My left, bird's left. I've also not been able to find pictures that clearly show exactly where the opening to the crop is compared to their trachea. Although, I was pretty clear that the trachea was in the middle. So, to be safe, I would put a couple of drops at the very front pointy end of the beak and let them swallow. But still had occasional issues.
Just this morning I messed up somehow while giving Nugget a 3ml dose of Epsom salt-water (a couple of drops at a time) and she is gurgling now. I'm devastated that I did this to her and I hope her lungs can clear up quickly. Your information will be a tremendous help moving forward. Thank you for posting it!