No, the Bluesoleil version I have does not run a taskbar process.
The way it should work is you double click the shortcut, it should open the program then you connect the bluetooth adapter and start transferring.
With Avast the Bluesoleil interface does not load because after a few minutes of waiting I generally get a "Memory could not be “read” " type of error. If I uninstall Avast and restart the computer Bluesoleil works without a problem (I have to uninstall Avast to make Bluesoleil work, disabling all the shields does not help).