The short answer would be mindhax, Abeloth has among the strongest mindhax in the verse and Soul King has no resistance to it.
X-Axis wouldnt really be an issue as Abeloth would be able to precog it (And yes, her precog works against people who have a resistance to precog) to avoid it or just regenerate from it if it does somehow manage to hit.
The Wind wouldnt really help either as Abeloth is more than capable of just bending space back in turn to prevent the attacks from being redirected, or just bypass the need to land an attack directly using Fold Space.
Book of the Past wouldnt work due to Abeloth's ability to view the past, present, and future at will, she'd know what he's doing and intercept him via Time Drifting. Although trying to mind/memory hax a Force user, especially one as powerful as Abeloth, basically impossible without crazy high numbers to back it up.
Fullbringer powers in general essentially get hard countered by Abeloth's ability to warp reality to the point that she can physically tear it apart with a thought or the fact that everything that is listed as a Fullbringer ability Abeloth can do to the same or better extent (Some of these include Fast-forward, which Abeloth can not only do to herself several times over via multiple speed-amplifying Force Abilities but she has multiple abilities that can physically slow the opponent at the same time, Cloning can be done both of herself and by converting others into clones of herself, Weather Manip/Heat Manip/Etc. can all be done by even basic Force Users through Alter Environment among other abilities that specifically allow for these manipulations, with Abeloth being able to create wide-scale storms and cause natural disasters basically just by existing, and even basic Force users can do healing and forcefield creation. Memory Manip and Mind Manip Abeloth absolutely has vastly more potent abilities with, and she leads with them in character.
As for sternriter powers:
- Deathdealing she resists due to Force Resist, resisting Poison manip and Death manip, and can do something very, very similar to this ability through Art of the Small, and to a lesser extent Sith Poison
- The Explode: Combustion functions identically to this.
- The Fear: Force Fear functions identically to this, with powers such as Force Madness and Force Insanity being much, much more potent on top of having a stronger base potency than The Fear due to Abeloth's stronger mind hax.
- The Heat: Tutaminis nopes this entirely, and Convection and Pyrokinesis work identically to The Heat.
- The Iron/The Power: There are dozens Force abilities that do the same thing as these to a much better effect.
- The Jail: Abeloth can perform the gateway closing through sheer Force power and Dark Side Trap and Force Net work the same way as the cages.
- The Love: Abeloth doesnt even need a projectile to do this to a much, much higher extent.
- The Question: Battle Meditation, Force Confusion, etc.
- The Roar: Force Scream
- The Thunderbolt: Force Lightning and all its applications
- The Underbelly: Shatterpoint Perception
- The Wind: Dimension Shift, Fold Space, etc.
- The Yourself: She does this regularly through her normal shapeshifting.
- The Zombie: Abeloth doesnt even need an arbitrary blood splatter on her target to be able to take control of them, she can do it with a thought.