Azure has already realized how promiscuous Jesse is. She's going to flirt with the girl and stalk off to her bedroom privately.
A few quick rounds in the sack and some friendly chitchat, Azure's going to encourage Jesse to write a love letter to someone she really likes, and subtly lead the letter towards sounding like a suicide note.
Another passionate round of sex, draining Jesse's soul until she's helpless, and a quick, long slit across the wrist while Azure sneaks off.
By the time anyone finds her with the letter nearby soaked in blood, Azure will be long gone, and plotting who to kill next to eliminate the Director's power structure.