Difficulty replacing nozzle - heating error

I recently changed my nozzle. On putting the new one in, it wouldn’t screw in past a certain point and I (probably wrongly) had to apply some force to turn it. It went in fine after that. However when I did a test print it was leaking from the nozzle (not around the nozzle, from the tip) after it finished extruding. I took the nozzle out to check for blockages, and now it really won’t go back in. It gets stuck at the same point as before, but now I also get the error “TE2564:The nozzle is not heating as expected” (it heats fine until I start inserting the nozzle).

Can I assume I broke something inside the hot end and it needs replacing?