OK, so I checked and the rim has double eyelets. I looked it up and if I understand correctly; double eyelets means that there is an eyelet insert riveted to both walls of a double walled rim. So I'm assuming that I pulled the insert through one of the walls and now I essentially have a single eyelet on the inside wall of the rim. Does that sound about right?

I'll go ahead and ride with it and see if it holds up, but I don't have much hope for it.