How to remove a broken aux cord from my iPhone 5c headphone hole?

I had an old aux cord that just snapped in my headphone hole for my iPhone 5c. I've tryed numerous methods to remove it and feel like the phone needs to be taken apart. There's no room to grab it to take it out. I've tried tweezers and superglue with a string. Still no luck. I really need to get this out because I can't listen to any audio whatsoever except Bluetooth and I have to make calls on speaker. What's the easiest way to just pop this thing out?

You have to remove the screen and open the phone to access the headphone socket module. You can then push the broken plug out of the socket, but be prepared to have to replace it as your extraction attempts (especially the superglue) may have ruined it.

Follow the various YouTube guides and pay particular attention to the fact that until you disconnect the ribbon connectors to the screen, the screen must not be raised past the vertical position (assuming the phone is flat on your work surface) as that will ruin the screen connection ribbons.

Look up iPhone repair / phone shops

They will have thin wire tools that slide down the side, and just life it out.
- done it before.

You mean a 3.5mm plug