Evolve

You need to completely kill the player and if you take any damage at all before you can get the kill from any source of damage (wildlife, stage hazard, hunters) then you'll completely lose credit towards getting this.
Luckily this has a super easy way to get this.
Play solo custom on the Aviary map in Hunt mode. Set the "MAP EFFECT" to "SECOND MONSTER". Then in "EXTRAS" set "DIFFICULTY" to "FAVOR MONSTER" and "STRIKES" to "0". The favoring thing increases damage for the team that is favored while strikes is the amount of times a hunter can be incapacitated. So now you and your buddy will do tons of damage while the hunters will just straight up die with no chance to revive once you deplete their health bars. When the match starts run up the left hill (11 o'clock) until you get into a man made hallway. Stay inside until the hunters reach you and then go out the tunnel and stay on the opposite side till your teammate kills one of the hunters.
The monster you play as doesn't really matter and I just used all the starting hunters for the enemies.

Edit: The above method worked back when the game initially came out and can still be done if you have a disc copy of the game (which should be dirt cheap at this point). Below though I'll include some of the other suggested methods.

-Use all the same above settings but play as a Wraith, put three points into Decoy and keep spamming Decoys.

-Use all the same settings as above but also set Wildlife to "low" and play as the Kraken. Put three points into Mines and then lead the hunters to the man made tunnels and spam a trail of mines. Keep leading them to tunnels and spamming mines. Credit goes to Spec K89 for this solution.

Found a solution that worked for me here: https://www.reddit.com/r/EvolveGame/comments/2yljhj/question...

"Just got it, I'd recommend doing what I did:
Solo: Defend
Map: Kings Fort
Difficulty: Favors Monster
Wildlife Population: Low
Strikes: 0
Play as: Wraith
Play against: Val, Cabot, Maggie, Markov
Build: 3 points each in Decoy, Abduction, Supernova
Perk: Ability cooldown reduction
Once the match starts, clear the area of remaining wildlife to create a safe area by popping supernova and then decoy, so the creatures don't zap you. Keep moving closer to the generator until you see the fence. Stay on the opposite side from the hunters and keep spamming supernova and then decoy. What you're trying to do is to get Daisy to come investigate (I pick Daisy because she can't shoot you). When she does, abduct her further away from everyone and then either supernova and decoy again to kill her (safest) or pounce (risky - the hunters may climb the fence to shoot you off, but it's easy enough to restart)."

One recommendation I would make is to change Markov for Parnell.

Credit to Redditor And_You_Like_It_Too.

Multiplayer way

Boosting is the fool proof way to get this achievement but you will need three players, two hunters and one monster.

1. Make a game of rescue on any map.
2. Set to favors monster, wildlife to low, and no strikes.
3. Monster spawns, try to find a secure place without getting damaged by wildlife, and wait for hunters to spawn.
4. Once the hunters jump in, one goes to the survivors with the bots and the other goes get killed by the monster.

The more hunters you have, the easier it is to manipulate the bots.

Solo way

Since the minion in the other guides don't work anymore, I piggy backed off the above guide and refiened it.

1. Start solo match of DEFEND on KING'S FORT as a monster.
2. Set to EXTRAS to favors monster, zero strikes, and wildlife to low.
3. Pick the Kraken, not the elder.
4. Put three points into LIGHTNING STRIKE, BANSHEE MINES, and VORTEX.
5. Pick 'COOLDOWN REDUCTION' perk.
6. Set hunters to Emet, Cabot, Maggie, and Lenox.
7. Once you spawn, use your ranged attacks to clear the wildlife from your way and head towards the objective.
8. You want to be on the left side of the first objective.
9. Wait until your two minions are smashing the generator and occupying the hunters.
10. Peek around the left wall and shoot three banshee mines towards the hunters.
11. Daisy WILL come to investigate.
12. Once she is there, blast away. And you will get the achievement for killing her.

Make sure you use the smell ability to find and kill wildlife in your way and to keep track of hunters. I got it on my second try with this method. Good luck.

Short and Sweet way to do this (you will need 3 people!) One of you will obviously be the monster and the other two will be there to help lead the bots away using the method below.

1. Load up a custom game on Hunt mode on any map.
2. Have the person playing as the monster hide not too far from the drop zone.
3. Have one player lead themselves and their bot (bots will follow each player) as far away as physically possible.
4. Have the second player with their bot be near but not within site of the monster player.
5. When the runner and his bot are far away have them use the D-Pad to switch to the bot with the player near the monster. This will ensure that the bots are potentially hundreds of metres away.
6. Have the monster player pounce one of the humans stood near them.

If the bots are far enough away and the monster has taken NO DAMAGE FROM ANY SOURCE! then this will unlock the achievement. Good luck.

This is damn tricky if you don't do it right, it's also pretty luck based

Go into custom match and go for hunt mode in the aviary. make sure you change the settings to favours monster and give yourself a second monster. also set the strikes for hunters to 0. you should also give yourself the damage boost perk or ability cooldowns perk, only choose the latter if you choose the wrath. it really helps to play as the wraith if you can, as with decoy there's essentially 3 monsters. if you do go the wraith, put all 3 skill points into decoy. once you spawn in, go to your 11 o'clock (up a hill to your north west) there should be a man made tunnel. hide in this tunnel and let your goliath pal weaken the hunters. set off your decoy when the hunters move in, and wait for a sole hunter to wander past and sneak attack them.

to make this easier, choose normal Maggie as the trapper. her pet trapjaw daisy will track you but can't hurt you. however, she is classed as a hunter and counts towards the achievement. while the hunters are preoccupied with the second monster and decoy, daisy will find you. sneak attack her, and hopefully no one will find her in time.

forgot to mention, set wildlife to low, a creature hurting you will stop you getting the achievement

Maggie's pet Daisy counts, so make sure she's in the lineup. Use Aviary + Kraken + mines as described in one of the other guides, run up to the S tunnel, drop all three mines by the door and if you are lucky, Daisy will run right into all three of them, almost killing her. Spam a few more and you can often take her out. If not she doesn't have a ranged attack so if she follows you through the tunnel you can spam more mines while backpedalling to finish her off without taking damage.