Should I offer food during shed?

All of mine eat while in shed without a problem. Just be careful if you feed live because they may not be as coordinated and have a bad strike.

I agree with gio, wait until it finishes shedding.

All of mine seem to handle shed differently. Some never eat in shed, some eat without any issues. If I notice they're in shed, I typically refrain from feeding, but I have a few that I'll feed anyway.
I have one girl who's always hungry. Half the time I don't even realize she's in shed until she grabs her rat.