Number one, don't panic.

Second, is your wall plug one with a GFCI on it? Does it or any of the plugs in the circuit have one of these little "test, reset" black and orange buttons on them? Kitchens usually have one on the countertop plugs in case of water in the plug. I bet you just have to find the one that popped and reset it, maybe behind the fridge itself.

If that's not the case, you need to take some time to figure out which breaker is responsible for that circuit. You should have found out before you plugged in. The problem is you had your fridge and light on the same wire. When the fridge kicks on it sucks a huge dip of amperage.

I doubt you did any damage just move the light to a different circuit when you get things figured out. Stay off the washer/dryer or heater breaker if you can also.