I'm not sure if have eating disorder. I don't make my self vomit. ..But it is hard for me to eat in the morning even if I am hungry. ..

You're worried? It sounds like you're concerned about your appetite patterns, and lack of interest in food (at least in the morning). Seeing your doctor about this would be a good idea. Lots of things can change your appetite, but talking it over with your doctor may help you both find the cause(s). Good luck to you.
You may be suffering. From anxiety. How long has this been going on? Do you have any major stressor in your life right now? Try getting up a little earlier, take some time to meditate or contemplate, play soft music.