abbiesomeone,
If you have outlook on the desktop that you synch your axim with, you might try adding your gmail account, (Remember to enable Pop in your gmail settings) to outlook, (instructions
here) then synch your device with outlook, which it appears you already have done.
I don't believe that you should have any problems synching both your active outlook e-mail, and your gmail setup through outlook to your handheld.
Hope this helps.
-C