This is the 5447th most frequent Swedish word.
finske
"Finske" is the definite form of "finsk," meaning "the Finnish" or "the Finn" in English, depending on context.
The word 'finske' is used here as an adjective describing the nationality of the man he spoke with.
Han talade med den finske mannen.
He spoke with the Finnish man.
In this sentence, 'finske' is attached to 'författaren' to specify that the author is Finnish.
Vi besökte den finske författaren på hans boklansering.
We visited the Finnish author at his book release.
Here, 'finske' modifies 'ambassadören,' indicating the ambassador's Finnish nationality.