A close up the leaves and stems would be nice. There is a chance that it may be something other than a boxwood. It looks a little bit like a dwarf Natal Plum which is way more cold sensitive than a boxwood.

I agree, i dont think that's a boxwood. That looks like a dwarf Natal plum I have. It was big before the frost and now looks like it's about the same size as yours. Does it have little thorns?

You are probably right about it being a dwarf natal plum. It does have very small thorns.