If I break up with my SO, can I make her leave my house in a foreign country?
That depends. What do you think will happen if you break up with your girlfriend and make her leave as such ?
She will have to go back home but she might get half my things.
It is ok to break up with someone if the relationship is not working out. You should give them at least a plane ticket home so they will be safe.
She sucks and being a single man is better than staying with her. She's only with me for my money.
Well it sounds like you are better off if the relationship ends. And her moving out makes sense if you are longer dating.