If someone lies to me about something important, I would feel hurt. I might or might not be upset.
"She was hurt when her cousin refused to come to her wedding."
If I have a flat tire on the way to an appointment, I would be upset. I would not feel hurt unless someone I knew deliberately put a hole in the tire.
"He was upset when the package did not arrive on time, delaying his plans."
Of course, I can feel hurt, angry and upset at the same time.