Plan for the whole appliance, not only the frozen compartment. Defrosting may require switching off the refrigerator, which changes conditions for the chilled food as well.
What the observation tells you
A bowl under melting ice does not protect milk or leftovers on the shelves below. Water can also drip onto packaging if the process is not arranged as instructed. The correct method depends on the appliance and must not involve improvised sharp tools or electrical heaters.
A useful next step
Move food to suitable alternative storage and follow the manual's shutdown, water collection and restart process. Confirm appropriate temperatures before returning food. Keep the two food-storage decisions separate from the mechanical defrost task.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.