Water works but ice maker doesn't maytag MFI2569

SOURCE: Maytag Icemaker freezing up

Possibly a bad valve but more likely not enough water coming to the unit,follow the water line from the back of the unit to where it hooks to the pipes there is usually a little saddle valve there,try closing it all the way and then open it back up check the water through the door and see if the pressure doesn't improve. 
 You can also remove the Ice maker clear out the fill tube and sit a cup under the end of it for a day or two if you get water in the cup and Ice in the tube you probably have a solenoid valve that isn't closing completely.

SOURCE: Maytag refrigerator water dispenser not working

you may have dislodged a sensor or perhaps you may have blocked your water line somehow... im not sure about this specific model, but just try having a look at what you did and see if there are sensors around there.. and make sure u havent dropped anything in there wich may have clogged the lines... lets hope its not your solenoid that has gone, sounds unlikely though you never know

SOURCE: ice maker tray over flows and clumps ice, water

Good day,
The normal operation is for the ice maker to harvest a batch of cubes, and then just before competing it's cycle, to open the valve to add more water for 7 seconds then shut off smartly.

At least 50% of water valve problems cause an overfill problem, because of internal wear etc. that does not let the valve close on time. This causes an overflow problem to the ice maker, and all the problems you described.

It should be corrected as soon as possible, since they have been known to throttle open and never close. Should it be overnight or while away, the damage can become quite serious.