BSE-prions are not destroyed at normal cooking temperatures.
It's spread among livestock by using infected animal products (typically meat-and-bone meal) in livestock feed. After the first BSE encounters in the 1990s, the US banned the feeding of ruminants (cattle, sheep and goats) food that contained mammalian meat products. However, mammalian meat products could still be fed to non-ruminant animals (such as pigs, poultry, dogs and cats), and poultry meat products could still be fed to ruminants. So the cycle was not completely closed, and this has been discussed for years as a possible route for BSE to gain access to cattle.
Say, for example, infected cattle tissue was detected. It couldn't be sold as food for humans, so into the animal food system it goes. It couldn't go into cattle, sheep or goat feed, but it could go into poultry, pig or pet feed. If the prions infected poultry, we wouldn't know, since it isn't tested for BSE. If infected poultry material was then used to make cattle feed (poultry products are completely legal to be used in cattle feed, and have been used in feedlot feed for a long time), then reinfection of cattle could be possible. Because the prions require very high temperatures (typically higher than those reached in many rendering plants) to be destroyed, the cycle of reinfection remains open, albeit indirectly.
Europe banned the feeding of cattle any animal products in order to prevent future BSE. The US decided to be less restrictive, likely a result of pressure from the feed and beef industries, thus continuing to allow cows, sheep and goats to be fed meat-and-bone meal and other animal products, so long as they don't come from other cows, sheep or goats. But chickens can eat the cows, and then cows can eat the chickens.
Does anyone know if you can become infected by eating chickens? Can they become infected with mamalian prions?