kayle is a hybrid champion with the ability to become powerful in team fight. with her i start with reckoning because it slows opposing champions helping your team get early team kill or ganks. next i pick up righteous fury because for me it has a 14 second cooldown, but because the spell's affect lasts for 10 seconds it's almost always up. i don't try to level up divine blessing because its healing max is about 207 and the movement increase is the same regardless of its level(12%). also in some cases it might be best to cast it on an allied champion that has more movement speed than you to catch other champions that try to escape death. kayle's last ability intervention is for diving, finishing team fights, or avoiding giving up a kill. it is best when combined with divine blessing because your movement speed is up, there is a slight health gain, and you are immune to all damage for up to 3 seconds. you can also cast this spell on allies to shield them from death. when i play kayle i stay back mostly as a ranged attacker. i ues reckoning was righteous fury to weaken and kill champions.
i have there 3 builds here because they all work based on what kind a champion your team needs. normally i use the hybrid build for balance. you can still be a battle mage with the AP build or a heavy hitting, almost glass cannon, champion with high speed.