Well, obviously, you should not let your wife ride the scooter!
Just kidding.
If the engine is not turning over then it would be the connection of the starter to the engine, but I have a feeling that is not it.
Is the engine turning over? Try to start it and put your hand over the exhaust pipe. If there is air coming out, then the engine is turning over.
It could be lack of spark, check spark plug wire and plug.
Do you smell a lot of gas down by the carburetor? It could be flooded.
If you are not mechanically minded, then take it to a shop or have one of your scooter buddies take a look.
I would be happy to come visit if you would buy a plane ticket to Greece for me.
Cheers