You're going to the top with this one.

Maybe OP doesn't have a phone and stepped back inside to call and someone stole their cab. our Maybe the Cabbie is lying.

The visit to the vet already happened. OP was trying to get home from the vet.

If OP only gave her first name and it was something quite common, it doesn't seem that extraordinary that there could have been other women with cats and the same name leaving the vet. Or, another likely scenario: another woman leaves the vet with her cat, she sees a taxi there. She opens the door, driver asks if this is [OP's name], the other woman claims that she is OP, she gets OP's taxi.

I think number 4 meant she hopes the vet visit wasn't super important such as the cat is very sick and needs medication, asap, etc.

OH I see where I messed up, I'm dyslexic so I thought it said for the vet, anyways thanks for not downvoting me to oblivion

Maybe they don't have Uber or Lyft in Germany. I feel your pain, OP. Before my boyfriend and I started using Uber and Lyft, trying to get a cab home from the vet was pretty tricky. Even though she stays in her carrier, more than one cabbie tried to charge us the pet fee.