So sorry about the broken wrist. Hope there are no complications. But congrats for getting out there and trying. Ice skating, at least in Nordic countries
, is a legitimate, long-distance sport. Much easier and less friction than XC skiing.
When I was courting Sari, in Sweden, she introduced me to long-distance ice skating. I used my Salomon ski boots with SNS bindings and my ski-skating poles. We skated on Lake Malaren for hours! Worked our way down into the center of town from the end of the Tunnelbana train line.
When conditions are right, the whole city turns out, and skates on the ice! A sport popular in northern Europe, where natural ice forms, melts and reforms several times each winter. So the windows of 'perfect ice' are short but frequent. Sometime you should try it!