She's actually known as Marie, the French form of her christian name.
in the West
She legally changed her surname to Skłodowska-Curie
Where's your source? She was known to use
both names certainly, but that's not the same thing.
On the other hand
Yes, she signs herself Marie Curie which indicates that she had no objection to being known as such. Perhaps in her early days it was a bit of a feminist rather than nationalistic gesture, retaining her own name and identity, especially for professional use. Perhaps that's why her Nobel certificate acknowledges her 'separate' status as a scientist in her own right by adding her maiden name.
She would be very angry
I doubt that very much. She was far too intelligent to be so small minded and petty. I think she would be delighted that she is still remembered to the extent that she is virtually a household name in so many parts of the world, whatever form that name takes.