In the Kriegsmarine, chaplins were Marinebeamten usually with officer status but not officer rank. However, any ordained minister, even if serving in the ranks, could perform the offices of his vocation as well. I am not aware of any chaplin assigned to the Bismarck, although I would not be surprised if there was indeed one aboard. In his memoirs, Raeder states that the number of chaplins in the Navy rose from ten in 1939 to 74 during the war, and that five Lutheran and three Catholic naval chaplins were killed in action; it would not suprise me if one or more of those perished with the Bismarck.
Their shoulders held the sky suspended;
They stood and Earth's foundations stay;
What God abandoned these defended;
And saved the sum of things for pay.