Canadian mom of three hockey playing boys here. You go grlll. Up here we moms skate with strollers, chairs, anything. Like many Canadians, I spent time in the US, and fondly remember my days in the Northeast Kingdom. People there are resourceful, respect individuals and don't worry about what the rest of the world is doing. I am pretty sure you can gracefully glide around the rink, stroller and child, head held high. It will not ruin the ice. And as far as other things go, please stop worrying about what other people think. I'm pretty sure you and your kid are about to make some new good friends at the rink. And maybe you'll open up a whole new opportunity for other mothers. Wishing you all the best.