Assuming you're referring to refrigerator & freezer compartments of the same unit, sounds like a bad evaporator fan, since the freezer is still getting cold enough. This fan is usually in the back of the freezer compartment. I had this happen to my fridge a couple years ago; it was a straightforward repair, and fortunately I had a spare fridge to move my food into while I waited for the part to arrive.
Could also be a blocked air passage between the compartments (ice or some item in the way), but that's less likely.
This would also be a good opportunity to clean the condenser coils & fan underneath or on the back of the unit (you may need to remove a cover for access).
Edit: as said above, if your power was out for a while, it may take a day or so for the fridge to get cold. If the evaporator fan is working, check the blend setting (freezer colder vs. fridge colder).