Check the program's options. Buried somewhere will likely be an
option "Start at Boot" or "Show Taskbar Icon" that you can change.
Worse case, just disable the Startup from running, then open the
app when you actually need to use it.
You can use a SysInternals program, AutoRuns to uncheck or
deselect any of the Startups and Watchdog apps that load/run
when the PC is first booted. http://technet.microsoft.com/en-us/sysinternals/bb963902.aspx
When the program loads look for your Blackberry watchdog
in the column marked "Publisher". Don't delete the entry simply
uncheck the box at the far left column for the entry.