I take a piece of waxed paper, and mix tow part apoxie sculpt, and make a bb sized ball. I press the eye over it, the ring will surround the eye, then I use a wet tool (keeps the sculpting clay from sticking) and sort of wrap that around the eye lifting it upward. I shape the duct as well. The rings are very thin, so go much thinner than these I have shown. These were in the trial years. you can allow the apoxie sculpt to harden slightly, and then take a sharp scalpel blade, and shave the thickness away until you get the desired thickness/thinness. After they have dried overnight, you can paint them with a very fine camel haired brush. The last thing I do, is make a plug out of apoxie sculpt that I stick to the bottom of the eye, and shape it conical and allow it to dry. This allows you to stick the hardened point in the socket, and maneuver the eye to make both eyes even. When I make a ring this way, I am actually making the eye appear as if the lid is attached to the skin. When it is plugged in, the ring presses against the skin of the eye, and then that skin presses to the "wet" apoxie sculpt that is in the socket. The skin is sandwiched between the ring and the socket filled with 'wet" sculpt. You will not have the eye under the skin, therefore you will not be using such a large eye. I normally use an 8mm eye as the standard size for almost any species of duck. I hope you can visualize that this eye is actually on the outside of the skin, versus the standard method of being it being under the skin.
It is just my method, and I don't pretend that it is the best. It just happens to be the shortcut I prefer.
Yes, your bird looks better than mine. I'm sure you were one of those kids in school who had their artwork in the showcase most of the time. I can see artistic potential when I see it. You are going to be a great bird taxidermist in the future.