Using Blu Kote below freezing?

One of my hens got a cut on a wattle, which bled pretty profusely. I wiped off as much of the dripping blood as I could, and luckily this was right at bedtime, so she headed to the roost and I wasn't worried about pecking at the blood since they were all in the dark. In the morning, things looked much better, scabbed over and no bleeding. Looks like it will heal up quickly.

That got me wondering if it's ok to use BluKote when temps are below freezing. For example, it's about 20-25*F here right now. It seems counter-intuitive to me to put something wet on bare skin in freezing weather, since we've been battling all winter to keep frostbite at bay. Luckily I didn't have to since we never had a pecking problem, but just curious what people think about this in case the scab opens and she starts bleeding all over again.