It is recommended that you activate the Scarab skull, turning your weapons into Scarab Guns, and the Envy skull which replaces your flashlight with active camouflage ability.

Being careful of your own splash damage, it might also be helpful activating the Black Eye skull to prevent your shields from recharging. This will make it so you can see if you have been shot without your shield recharging without you noticing.

If you do get hit by a bullet you may restart the checkpoint and try again. But if you reach another checkpoint after you have already been hit, you will have to restart the level.

After some patience if you make it through the level without being hit, when you reach the bomb room you will hear a special dialogue and the achievement will unlock. Good luck!