Need Immediate Advice

you want to make sure that the tube is indeed connected to the drip tray spout and that the water from the drip tray in the fridge is making its way out the tube. After you have checked the tube routing / connection, take a small amount of water and pour it into the drip tray and watch where it goes... you can even put some food dye in the water to be able to see the path more readily. You don't want water in the fridge "operating area" (pipes, heater, etc) as it will cause a rust problem especially on the tubes resulting in ammonia leaks and a dead fridge. The water tube on older models gets rigid and breaks readily.

One other thing to check is to ensure that the roof vent for the fridge is not allowing water to run down inside the venting chamber and finding its way to the lower wall vent area.