benoit:
Are you saying that SpybotSD.exe is starting when you start or restart your system and that "Spybot - Search Destroy" is appearing in the system's "Taskbar"?
If so you probably have a startup entry for SpybotSD.exe. Go into Spybot > Mode > Advanced mode > Settings > Settings. In the option tree under "Automation", look at the "Program start" and "System start" settings. To return the those settings to their default values, uncheck everything under "Program start" and under "System start" make sure that only "No automation" is selected:
Automation
├─ Program start
│ ├─ □ Run check on program start.
│ ├─ □ Fix all problems on program start.
│ ├─ □ Rerun checks after fixing problems.
│ ├─ □ Immunize on program start if program has been updated.
│ ├─ □ Don't ask for fixing confirmation.
│ ├─ □ Wait a few minutes until starting the check.
│ ├─ □ Wait until specified programs have quit.
│ └─ □ Wait a few seconds if something else than spies were found.
├─ System start
│ ├─ ● No automation
│ ├─ ○ Automatically run program at system startup.
│ ├─ ○ Run program once at next system startup.
│ ├─ □ Run check on program start.
│ ├─ □ Fix all problems on program start.
│ ├─ □ Wait a few minutes until starting the check.
│ ├─ □ Wait until specified programs have quit.
│ ├─ □ Wait a few seconds if something else than spies were found.
│ └─ □ Close if everything's O.K.