Did I break my hot end?

[Geoff]

Also, I tried pushing it back in and heard a click noise, but it still comes out with very light pulling or pushing (when I put filament through)

There is supposed to be a thread that screws into the heatsink... to me it looks like you have barely any thread at all.. it can't be tapped since there is no meat left... hmm I personally would go and spend $50 on a new extruder