You keep a massive alligator at bay with your polearm.
A massive alligator's bite *** DEMOLISHES *** you!
Your claw decimates a massive alligator!
Your claw mauls a massive alligator.
Your claw maims a massive alligator!
A massive alligator is DEAD!!
You land the killing blow against a massive alligator.
A massive alligator's severed head plops on the ground.

trophy corpse
The corpse of a massive alligator is not worthy of a trophy.

I have killed a few of these Alligators, and not once have i been able to trophy their corpse after defeating them. To note, every single time we fought, they had not a scratch on them, or had engaged in any other combat prior, nor did anyone else participate. All were one on ones.

That's because you're not killing "a few alligators", you're spam killing the same guy over and over again, and trophy's not down with that. :P