Kayle is a very good champion that can burst priorty champions easily. She can be kind of tanky has well. She is an hybrid and can do any role with ease. each role will have a different build and play style.
I would try her in the mid lane.
21,9,0 masteries
Runes: Hybrid marks and quints, armor seals, and mr gylphs.
I would take Righteous Fury at level one and max that first, then reckoning at level two (max this second), then Divine blessing at level three (ultimate whenever).

You Can use your E (Righteous Fury) to help last hit and harass enemies from a distance. The Q (Reckoning) Can be used has effective poke and a very bursty spell which can do a lot of damage, you can also use it to slow enemies to catch up to them. Your W (Divine Blessing) can be used to heal, and speed up you or your allies, it is a good support spell. The ultimate (Intervention) should be used to prevent you or your allies from being killed. (the most annoying spell).
you can start with
and 3
, or
and 4
Early game:
,
or
, 
Mid game to late game:
,
(not with trinity Force), or
, or
, 
If you want to be annoying and be unkillable for trols:






Hope this could be useful.