My name is XXXXX XXXXX I'd like to help you with your App problem. I do need some more information though. This App you purchased, please tell me the name of it and if possible, send me a link to where you downloaded it.
Most App's for the iPhone or iPod Touch do not have a desktop component so it seems strange to me that this one would. If you send me the information I will research this and let you know if it is safe to sync.