Maybe you can try this.
When your Desktop Manager is ready to sync data with your connected phone click on ‘Applications’. Scroll down to Blackberry ‘App World.’. You might see version 3.1.4.25 present (?). Select ‘x’ to remove this version and then hit ‘Apply’ at the bottom.
Once this is done wait a bit and after the reboot of your phone it connects again to this screen. Scroll down to ‘App World’ again and this time select ‘+’ which adds the version which came with your operating system (for example in my case it is: 3.0.0.73) and apply it.
Anyhow, after your default version is installed and the phone has rebooted disconnect it and open ‘App World’ and follow the prompts. Make sure the radio and Internet is back on too.
When later 'App World' wants you to install an upgrade version ignore it and keep this default version till RIM fixes the issue.
I have not your phone model but I had a similar 'App World' issue which did not launch. Good luck
BB4matt, you rock! Directions were clear, concise and, most importantly, the solution worked! Thank you very much!! Have a brilliant day!