athenes sound as a bad item on her, build morello instead, it is much better (gives a great mana sustain (the lost chapter for laning and the tome itself for teamfights), gives more than twice more ap than athenes, gives grievous wounds too and also gives the same cdr as athenes, it doesn't give mr, but you don't need mr being a squishy backline damaging support with also an ap scaling shield, not like athenes gives a lot of mr too; note the mana passive of athenes was also nerfed the last patch)
support lux should get sightstone and then build ap damage, she is not janna or soraka
her shield is pretty strong with some ap and is aoe
so support lux it is something like sightstone morello rabandon void staff etc
then, support lux is bad, play support morgana/zyra/velkoz instead