I agree, it does sound like a rebound; however, your behavior is one factor in determing whether or not she cycles back away from you, and how quickly that happens. Stay detached but upbeat and positive, friendly toward her. Do not bring up reconciling. It will probably come up soon enough, and that needs to come out of her mouth not yours. It sounds like you have been doing well so far. Don't worry too much about texting her a Good Morning, the key is to keep it to words and actions that just friends do, and that's certainly within the realm of a plainly friendly act. If you followed it up with a "U get my text?", that'd be pushing it.
