I assume you mean the water dispenser here. Most likely, the filter is not seated properly, and the change in line pressure when you push the dispenser pad is popping the filter out of place. You didn't specify the refrigerator, so there are a couple of generic things to try:
- There are a couple of water filter types - the push-in-and-click kind, and the push-in-and-turn kind. If it's the push-and-click kind, then there's probably a button next to it. Turn off the water to the line (probably under your sink), push the button to eject the filter, make sure that the o-rings are in place on the end that's inserted. If the filter has been in there for years, probably best to replace it, it's probably clogged but good. Anyhow, insert and eject the filter 4 or 5 times, make sure it feels like it's seating properly.
The push-and-turn ones often have some cap that blends in with the molding of the fridge. Make sure the cap in attached to the top of the filter , insert, and make sure you do the full quarter turn to lock it in place. You should not be able to pull it backwards at this point. Turn it back and forth a couple of times. it should be stiff, but not feel mechanically impeded or jammed. There could be dust bunnies or other floor debris that got pushed in at a previous filter swap jamming things up in there. A crevice tool on the vacuum might help clear debris if it's there (don't do this if water is actually flowing out of the filter spigot )
Try it now (remember to turn the water back on) , that should hopefully fix the issue.
If not, the next generic things to try are:
- Replace the filter.
- See if the dispenser works without the filter in place. Many fridges have a bypass so that a filter in mid-replacement won't flood the kitchen. If things run ok, try running a couple of gallons of water through. A lot of fridges give you cold water by having a big coil of tubing in the fridge compartment, probably under/behind the vegetable bins. There's the content of a couple of glasses of water in the line, so it's being chilled in the line. If they get clogged, or have some organic gack growing in them, then there'll be more back pressure on the filter when the wall pressure tries to push water through the coil. If things still flow, try running a few gallons of water through the line to see if things will start flowing better. That may clear it up.
If the new filter is still being ejected after running a lot of water through, probably time to get an appliance specialist involved.