This Achievement is more or less on par with the difficulty of the "He's Got Mew-ves Achievement" the only difference being this one is slightly less rng reliant.
EDIT: You cannot get hit whatsoever, if you do and it happens to be Rounds 1-3, you can kill yourself and try again, however if you made it to the Round 4 checkpoint and took a hit, you'll have to pause and return to Foxington Hub then jump back into WriggleMania, which puts you back to Round 1. If you have NOT taken damage, you can collect the hearts to get them off screen as they will obscure your view eventually. (Credit to LaraCroftAngel and King of kingsjc for discovering this, though there has been a bit of discrediting among others who attempted to do this, so just avoiding taking damage in general may be the way to go)
In the first phase, you will face 4 birds who will each spawn 4 flowers upon death. Take the birds out one at a time to avoid filling the entire arena with flowers and risking a hit, then bait the flowers from a safe distance.
In the second phase, you will face worms while avoiding rng fire cannons that pop up from the floor tiles. The fire cannons can spawn on any random squares they want. Stay inside the dark blue lines in the ground to avoid having the worms spawn on top of you, then jump on them and try to bounce on them all in one shot so you can to avoid the fireballs. If you press A immediately as you land on a worm, you'll bounce very high and will have much more control of the battle from above. You can safely rest on the raised fireball platform if you want.
In the third phase, you will face bees with lasers and spiked floors in 3 waves. The first wave will have spikes in the center of the arena and 4 bees in each of the corners. Simply jump over the lasers and stomp the bees, but keep an eye out for the stingers! The second wave is the hardest part of the entire run, stomp on the leftmost bee and land on the hotdogs/diamond (depending if you collected the hot dogs already) and let the back right bee kill the back left bee while you jump in place to avoid the lasers and stingers. Then jump on the last two bees in succession. In the third wave, simply jump on the bees when you see a free moment but focus on the lasers and be patient.
Lastly in the fourth phase, you will face off with spinning floor lasers, rapid fire bees, and golems. Keep an eye on the spinning lasers and make the bees your top priority as you don't want to be overwhelmed by stingers. Once the bees are gone you'll have to stomp or tail whip (the tail whip is significantly safer) the golem three times to defeat it, but it will release a heat seeking fireball upon death which you should immediately avoid until it vanishes. There will be two more waves of bees/golems with one more bee each time. These enemies will always spawn in the same locations allowing you to literally get the jump on them if you like. Upon clearing this phase you will receive the Achievement.
Note: If you wear the Maxi-Mullet hairstyle during this fight you will unlock another Achievement.
Use my video below for reference.