Bad Mood
Pout, Displeasure, Ill Humor, Ill Humour, Sullen
noun, な adjective
Remember how 機嫌 means mood? Well when you add not it becomes a bad mood. It's so bad it's like you have no mood at all.
ふきげん
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
花江は今、不機嫌なのよ。
Hanae is in a bad mood right now.