The MET is several blocks away from the hotel. I don't suggest walking alone as a female at any time. I don't like the idea that females have to be extra cautious on this regard however; uber/lyft are options as well as the 4 and the 16 bus. It runs right outside of the hotel.
It is probably safe. But you can take an shared Uber or Lyft. Which will cost you only about like $3-4
A very long walk, we took a 10 minute uber ride.
Philly is super safe. Never threatened there.
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