Disdain is a way of treating someone as if you dislike them and they are beneath you. The woman is looking at the man who is approaching her with disdain.
You feel disgust when you have a sudden, very strong dislike of something. Some smells, like rotten food, are disgusting. The person in the picture is disgusted.
You are embarrassed when you are made uncomfortable and self-conscious by something that happens. For example, you might get embarrassed when you make a mistake introducing yourself to someone you really like.
Envy is being resentful of something that someone else has. Sometimes, people who are envious will wish the other person doesn't have the coveted item either.
You are excited when you are really really happy about something. People get excited when they win the lottery, or are about to go away on holidays. Children often get excited at parties. People who are excited sometimes jump up and down and wave their arms around.