Ascend Hand of Kul

After you complete Crimhorn Summit during the tutorial, the shrines and alters you claim may be attacked by other PC's ascended champions while you play. You will get a 5 minute warning to fend them off before they take your shrine or alter, though you can wait until after they take it to fight them. Just defeat 3 of them to get the achievement.

After you have claimed some altars and shrines for your god after the tutorial, you may be invaded by another Xbox Live player's AI-controlled ascended champion. You are given 5 minutes to defeat the invader before they take over the shrine or altar. They will still be in the location even if they have taken over the area.
A champion that is several levels ahead of you may prove to be a difficult opponent. It doesn't hurt in making an attempt to defeat them, as your armor and gear will not be damaged by ascended champions (If the location is an altar, there will be enemy humans in the area and they CAN damage your gear), and there is no penalty for dying.
Blocking is extremely efficient when dealing with champions. Magic they cast can be blocked if you time it correctly. However, the champions tend to do a lot of blocking themselves. Counter this with the Y button heavy attack.

Also, if you want to do a little soul farming, as long as you don't reclaim the shrine or altar for your god, the enemy champion will respawn every time you re-enter the area. They can be killed for about 500 souls.

In order to start to work on this achievement you first need to finish the tutorial.

After the tutorial you will be able to go and claim some altars and shrines that will at times be attacked by champions of the other gods (Ascended characters) A message will pop up and it will give you 5:00 to either warp to them, or dismiss. You can either prevent them from taking it, or just wait for them to take it over and warp back at a later time.
(If you do warp to them while your in a dungeon and after you kill the champion and decide to warp back, all the mobs in the dungeon will re-spawns, and you will be put back at the beginning no matter what floor you were on.)

A side note: That any damage from a champion will not damage your armor. And a helpful hint to take down champions if you decide to farm them for the 500 souls you get for kill them. The spell Meteor Storm ( Dark spell ) makes it easy to take down a champion, and can pretty much take down 50% or more of there life because they just stand there stunned and don't move (which I'm pretty sure this is a bug). Just have to make sure they are in the area of the meteors dropping.

This achievement also seems to be a bit buggy so it may not pop with shrines or Alters alone.

You can also get this by killing the champions/player bosses that show up in some dungeons.
I found the ones based on which God you picked "light, dark, Void" Seem to have a champion most of the times, and tend to be a few levels lower then you. You first come across these in the Ruined Cliffs ~ The Battlement

In order to start to work on this achievement you first need to finish the tutorial.

After the tutorial you will be able to go and claim some altars and shrines that will at times be attacked by champions of the other gods (Ascended characters) A message will pop up and it will give you 5:00 to either warp to them, or dismiss. You can either prevent them from taking it, or just wait for them to take it over and warp back at a later time.
(If you do warp to them while your in a dungeon and after you kill the champion and decide to warp back, all the mobs in the dungeon will re-spawns, and you will be put back at the beginning no matter what floor you were on.)

A side note: That any damage from a champion will not damage your armor. And a helpful hint to take down champions if you decide to farm them for the 500 souls you get for kill them. The spell Meteor Storm ( Dark spell ) makes it easy to take down a champion, and can pretty much take down 50% or more of there life because they just stand there stunned and don't move (which I'm pretty sure this is a bug). Just have to make sure they are in the area of the meteors dropping.

This achievement also seems to be a bit buggy so it may not pop with shrines or Alters alone.

You can also get this by killing the champions/player bosses that show up in some dungeons.
I found the ones based on which God you picked "light, dark, Void" Seem to have a champion most of the times, and tend to be a few levels lower then you. You first come across these in the Ruined Cliffs ~ The Battlement

I believe that this must be done in one session (perhaps this is a Beta bug). The best method I have found is wait until three of your shrines are captured, then go defeat the champions back to back. When I did this, the achievement popped for me.