Your Wife I think...
Anyway when coming together to the Phils you will not be able to use any of the advantages to be her Spouse as you have no rights there. You will be a visitor only.

Other thing is that Guam is a US territory so she needs a US visa to go there. Getting a Tourist Visa from the US Embassy is not easier than getting one from the European Embassies.

As I said before, better to use the regular way than trying to trick the system.