Chosen Solution

I am replacing my iphone6 screen, but ran into a snag- my old phone has 4 connector cables, and the replacement part only has 3??

From the looks of it; you appear to have ordered the screen for the iPhone 6S with 3 connectors and not the screen for the iPhone 6 with 4 connectors. If this is the case, then the iPhone 6 screen will needed to be ordered. If you have received the screen no more than 30 days ago, then you should be able to get some store credit via returning your other screen to iFixIt. If your screen wasn’t bought from iFixIt then you’ll have to check how to return it yourself. Hopefully this helps!