Sleeping in the fiumicino airport or in stazione termini?

Im a solo traveler girl , I will arrive to Rome at 01 am, and I’m torn between spending the night at the airport or to go to stazione and find a nearby hotel but I fear that it’s going to be unsafe for me to go walking from the stazione to the hotel even if it’s an 8 min walk. (My actual hotel is far from the stazione) What would you suggest? What is the safest option to spend tha first night?