Speak to Laurna Morninglight in Teldrassil.
[player], you must travel to Dolanaar when your business here in Shadowglen is done. There, you will find Laurna Morninglight. She will instruct you further in the ways of Elune, and it is with her that you will earn your first garments denoting your station as a $gpriest:priestess; of Elune.
Take care, and may you be protected in your journeys.