You really should start getting in the habit of warming in a bag in a container of hot tap water. This warms much safer and faster than leaving at room temperature and prevents the possibility of rancid meat. If the rodent gets wet in a water bath you can always spot dry it in paper towels but a damp rodent won't harm anything . Heating with a blow dryer won't cause any problems but leaving it to thaw out of a fridge for 3 hours could.
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