That doesn't look like chicken pox to me, but maybe it is too early to tell. The thing to look for that would make it most likely be chicken pox is if the spots get a pus filled blister on top, then scab over. So, after a few days, if it is chicken pox, she should have red bumps, blisters, and some blisters that have scabbed over - all three stages will be there at the same time for awhile. After about a week and a half to two weeks, it should mostly be scabbed over.
From your picture, I think it does look like bug bites. How many does she have? Several could mean fleas. Even if it is too cold outside, a pet might have brought them in. Just a thought. There are also many rashes that are viral and just need to run their course.