From: Pacific Time Zone
Actually the Bismark was damaged by naval gunfire in the initial engagement and leaked a trail of oil had fuel shortage to deal with in its attempt to escape....
"Hood opened fire at 05:52 at a distance of approximately 26,500 yd (24,200 m). Holland had ordered firing on the leading ship, Prinz Eugen, believing from her position that she was Bismarck. Holland soon amended his order and directed both ships to engage the rear ship, Bismarck. Prince of Wales had already correctly identified and targeted Bismarck, whereas Hood is believed to have continued to fire at Prinz Eugen for some time."
- Wikipedia Article
"The first shell caused negligible structural damage. The second shell struck the port side of Bismarck somewhere below the 320-mm main side belt in compartment XIV (in way of the fore bridge tower). This shell defeated the side protective system and exploded against the 45mm torpedo bulkhead. Fragments from the explosion penetrated the bounding bulkhead of the portside cable ways and the main transverse bulkhead between the forward port turbo-generator compartment and the port boiler room. The turbo-generator room quickly filled with water. The boiler room flooded at a much slower rate through tears in welded seams in the main subdivision bulkhead. These leaks were controlled by plugging the torn welds with canvas hammocks.7 The eventual loss of power from two boilers in the port boiler room reduced the battleship's maximum speed to 28 knots, still marginally better than that of the pursuing British ships.
The third 14-inch shell, which passed through the 60mm splinter belt well forward on the port bow and above the armor deck, dramatically changed the course of the Bismarck's mission. Compartments XX and XXI in the bow were totally flooded with a mixture of oil and seawater. As the manifolds for the fuel distribution system were located in one of the flooded compartments, Bismarck was suddenly deprived of the use of more than 1,000 tons of fuel oil. The shell passed completely through Bismarck without exploding, but the holes it left were some 850mm in diameter and below the bow wave with the ship trimmed down by the bow. After voids were counterflooded aft, these holes were covered with sail cloth. We could not detect either of these shell holes in the photography brought back by Dr. Ballard in 1989 because Bismarck is imbedded in sediments up to her design waterline.
Bismarck took a 9-degree port list and a trim down by the bow of 2 meters. The loss of more than 1,000 tons of fuel was by far the most critical consequence of this battle damage. Fuel tanks had been contaminated by sea water, and the fuel distribution system forward had been seriously damaged. The access trunks to the manifolds in this area were also flooded.
Although the Germans were able to localize the damage caused by the two underwater shell hits, flooding in the affected compartments was permanent and had to be countered by flooding port voids aft in the area of the steering gear rooms to reduce trim and list." -From Bismarck's Final Battle by William H. Garzke, Jr. and Robert O. Dulin, Jr.
Actually, the Bismark was untouched in the surface engagement. The British wern't even shooting at it, as they thought the leading ship (Prinz Eugen) was the Bismark, as they assumed the lead ship would be the Battleship. Later a carrier plane got a hit on the stern of the bismark, jamming it's rudder...
"Don’t you think that if I were wrong, I’d know it?"