Keeping the Wolf safe until you can cause serious havoc with him is the key. Remember that if the opportunity presents itself, you can charge a warbeast with Kaya and then spirit door the warp wolf past that beast into combat with the enemy warlock. I've done that a couple times and its very effective.
Also remember that the Wolf can two-handed throw a beast into its caster, knocking down and damaging both, and then be spirit doored to safety.A crucial ability that many forget/don't know about is that you can leach fury from your caster's lifeforce if you run out of beast fury!
Counter charging is an important tactic with Kaya's pack. If you can goad your opponent into charging a lone Argus, you should be able to gang up and cause seroius damage next turn, especially with pack hunters.
Also, remember to Doppler bark beasts that your Wolf has knocked down. This past saturday I played my 3 Argus + Warpwolf + Kaya list against a 2 Dire Troll + Axer + Hoarluk list. I completely shut him down by Dopplering three models per turn and throwing around his Dire Trolls. I only suffered damage from his fury-damage feat.
Every Dire Troll that my Ragered Warpwolf has gone up against has fallen, and I can usually get him there without the Dire Troll charging me at all. I think part of this is overconfidence on the Troll's part and will continue to be harder to do, but for now my Wolf enjoys a hearty meal every game!
As far as ranged attacks go.....
Cloak is a must! Cast it on the Wolf and then keep Kaya in a forest or behind terrain. Most of what she needs to do she can do through terrain. Remember that Spirit Door does not require LOS
The only trouble I've had so far in this department is the Legion. No wins against them yet.
The all Seraph list rips you apart before you get into range, and the all Shredder list has too many beasts to deal with (although, trampling Woldwardens and the Wolf animus help a little). I've only had one battle against any other configuration, and in that one I faired better, but failed to do enough damage.