You both are european, she can come without visa, and get it in the airport.
Do not announce it!!! No body will know
She can stay upon her Visa, as much as she wants.
People do not put up their nose in others things.
Cheer up and let the comments of inexperienced people.
let them say whatever they want.

I am European as u and know much more things than the far east and Asian Nationality.

If you need help just PM me.