A 30-year-old American man was arrested after the incident on Wednesday afternoon, police from the town of Kempten said in a statement.
The 21-year-old and her 22-year-old woman friend were hiking in the area when they met the 30-year-old man, the police said.
The man allegedly persuaded them to follow him down a secret trail that led to a good lookout point.
He then “physically attacked” the 21-year-old woman, police said.
When her friend tried to intervene, he allegedly choked her and pushed her down a steep slope.
Police believe “an attempted sexual offence” was then committed against the 21-year-old.
She was then also pushed down the slope, falling next to her friend some 50 metres below.
When mountain rescue workers found the two women, the 22-year-old was injured but able to talk.
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The 21-year-old was seriously injured and taken by helicopter to hospital, where she died later that night as a result of her injuries.
The man is being investigated on suspicion of murder, attempted murder and a sexual offence.
Oh my god. If he’s a soldier, hand him over for court marshal so he can be executed immediately after a short tribunal. If not, send him back to the States so he can be tried and given a death sentence. There’s no fixing these types of monsters.