Good job on taking the opportunity you had. I agree that the geese don’t stand out very well, although I could not decide if it was because of the reflection or the lack of color contrast with the bank and water being dark shades similar to the geese.
Not having much time makes things harder, but moving a short distance left or right could have possibly removed the glare, although I don’t know what sort of distances and angles were in the equation.
I’m not sure how this would affect the overall appearance of the water in your situation, but another option could be a polarizing filter. That would likely have cut the white reflection, at least partially, if not completely. A polarizing filter can be a fun way to take pictures of things with windows since you can either let the window reflect, or look straight through it, just by adjusting the filter. With water, you can cut the reflection of the sky and look deeper into the water or let the color of the sky reflect.