“Luckily her life is not in danger,” a Munich police spokesman told The Local. “She will have to spend some time being treated in the hospital.”
A group of joggers running circuits of the Bavaria Ring, which runs around the edge of the Theresienwiese, encountered the 550-kilo bovine, which lowered its horns and charged them to get through.
The woman was struck in the back and suffered a serious wound from the cow's horns before it continued its flight along the Ring.
After an hour of pursuit the police found that the cow couldn't be calmed and tried to stop it with their sidearms. When those failed a rifle had to be brought and the beast was killed with two shots.
“Unfortunately there was no other way to stop the cow,” the police spokesman said. “We had to stop the danger to the public.”
The cow had broken out of a nearby abattoir at around 7am. when the driver of a truck carrying cows forgot to close a gate while the animals were being unloaded.
Police patrols used their vehicles to drive the cow away from residential areas, at one point driving between it and another pedestrian.
A memorial was set up to the cow overnight after the story was discussed in local animal rights circles on Twitter, with a stuffed cow toy and flowers testifying to the animal's death.
"Here died the cow 'Bavaria'," a note left at the scene read.
"She wanted to live and fled the abattoir. She died here under a hail of bullets!"
"Let her henceforth be a symbol for our striving for freedom."
The last famous cow escape took place in 2011, when an animal named Yvonne fled a Bavarian abattoir.
Yvonne, however, didn't harm anyone and was ultimately put out to pasture after being recaptured from her refuge in the forest.