Some time ago, I had a lot of rust and debris come into our plumbing due to some maintenance work my city did. Since then, my kitchen faucet cold water has been coming in pretty slowly. When I finally decided to do something about it tonight, I accidentally snapped off some tabs on this piece:
This was quick-connected on one side to the copper after hot and cold water join (and where the tabs snapped off):
The other side is threaded and screwed into the braided nylon hose that goes back up to the faucet:
Unfortunately, I have no idea what this piece is called, there's no brand name to be found on this or on the rest of the faucet, and looking at replacement faucet assemblies gives me no clue as to what this is. I'd like to replace just this piece if possible.
The inside of this looks quite rusty. I got the impression that it's some sort of a debris filter, but I don't know that it's actually the case. While I'm not sure what purpose this serves, I am now able to attach everything together, holding this piece firmly but manually in-place, and water comes out fantastic. But if this thing slides off, turning on the faucet will spill water everywhere since there are no longer tabs to keep it in.
Edit: Added picture of this piece as installed. Arrows show the direction of flow of water. Blue and red are cold and hot water coming in from the wall and up into the faucet assembly; purple is after these two join together and go back down, through the piece in question; yellow is through the nylon hose, which goes down and back up into the faucet head.