She has achieved 'international' fame/recognition.
The process is now recognized 'internationally'.
an 'international' association of chemists
(..) What on earth's the matter with you? Don't be so bloody naive! You know there's a war breaking out! This arrived this morning. ''By order of the British Government all international expeditions to be aborted by May, .'' What do they care about our maps? What do we find in the desert? Arrowheads (..)1996 The English Patient